Induced representations of reductive 𝔭-adic groups. I
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 10 (1977) no. 4, pp. 441-472.
partie suivante Induced representations of reductive 𝔭-adic groups. II. On irreducible representations of GL(n) 
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     author = {Bernstein, I. N. and Zelevinsky, A. V.},
     title = {Induced representations of reductive ${\mathfrak {p}}$-adic groups. {I}},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {441--472},
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     year = {1977},
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     zbl = {0412.22015},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/asens.1333/}
}
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Bernstein, I. N.; Zelevinsky, A. V. Induced representations of reductive ${\mathfrak {p}}$-adic groups. I. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 10 (1977) no. 4, pp. 441-472. doi : 10.24033/asens.1333. https://www.numdam.org/articles/10.24033/asens.1333/

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[2] I. N. Bernstein and A. V. Zelevinsky, Induced Representations of the Group GL (n) over a p-adic Field (Funkt. Anal. i Priložen., Vol. 10, No. 3, 1976, pp. 74-75). | MR

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[9] I. M. Gelfand and D. A. Kajdan, Representations of GL (n, K), in “Lie Groups and their Representations 2, Akadèmiai Kiado, Budapest, 1974.

[10] H. Jacquet, Sur les représentations des groupes réductifs p-adiques (C. R. Acad. Sc. Paris, t. 280, No. 19, série A, 1975, pp. 1271-1272. | MR | Zbl

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  • Jiang, Dihua; Liu, Baiying; Xu, Bin A reciprocal branching problem for automorphic representations and global Vogan packets, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2020 (2020) no. 765, p. 249 | DOI:10.1515/crelle-2019-0016
  • Mitra, Arnab A note on degenerate Whittaker models for general linear groups, Journal of Number Theory, Volume 209 (2020), p. 212 | DOI:10.1016/j.jnt.2019.08.018
  • Gao, Fan Kazhdan–Lusztig representations and Whittaker space of some genuine representations, Mathematische Annalen, Volume 376 (2020) no. 1-2, p. 289 | DOI:10.1007/s00208-019-01925-1
  • Offen, Omer On symplectic periods and restriction to SL(2n), Mathematische Zeitschrift, Volume 294 (2020) no. 3-4, p. 1521 | DOI:10.1007/s00209-019-02390-x
  • Jo, Yeongseong Derivatives and exceptional poles of the local exterior square L-function for GLm, Mathematische Zeitschrift, Volume 294 (2020) no. 3-4, p. 1687 | DOI:10.1007/s00209-019-02327-4
  • Chang, Wen; Duan, Bing; Fraser, Chris; Li, Jian-Rong Quantum affine algebras and Grassmannians, Mathematische Zeitschrift, Volume 296 (2020) no. 3-4, p. 1539 | DOI:10.1007/s00209-020-02496-7
  • Johansson, Christian; Newton, James; Sorensen, Claus Local Langlands correspondence in rigid families, Pacific Journal of Mathematics, Volume 304 (2020) no. 1, p. 65 | DOI:10.2140/pjm.2020.304.65
  • Muić, Goran A remark on a trace Paley–Wiener theorem, Pacific Journal of Mathematics, Volume 308 (2020) no. 2, p. 407 | DOI:10.2140/pjm.2020.308.407
  • Luo, Caihua The Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^𝐸, Representation Theory of the American Mathematical Society, Volume 24 (2020) no. 10, p. 292 | DOI:10.1090/ert/545
  • Smith, Jerrod Speh representations are relatively discrete, Representation Theory of the American Mathematical Society, Volume 24 (2020) no. 18, p. 525 | DOI:10.1090/ert/550
  • Yamana, Shunsuke On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms, Transactions of the American Mathematical Society, Volume 373 (2020) no. 8, p. 5395 | DOI:10.1090/tran/8096
  • Jo, Yeongseong Factorization of the local exterior square L-function of GLm, manuscripta mathematica, Volume 162 (2020) no. 3-4, p. 493 | DOI:10.1007/s00229-019-01140-x
  • Gulotta, Daniel R. Equidimensional adic eigenvarieties for groups with discrete series, Algebra Number Theory, Volume 13 (2019) no. 8, p. 1907 | DOI:10.2140/ant.2019.13.1907
  • Chan, Kei Yuen; Savin, Gordan Bernstein–Zelevinsky Derivatives: a Hecke Algebra Approach, International Mathematics Research Notices, Volume 2019 (2019) no. 3, p. 731 | DOI:10.1093/imrn/rnx138
  • Cai, Yuanqing; Friedberg, Solomon; Ginzburg, David; Kaplan, Eyal Doubling constructions and tensor product L-functions: the linear case, Inventiones mathematicae, Volume 217 (2019) no. 3, p. 985 | DOI:10.1007/s00222-019-00883-4
  • Gee, Toby; Taïbi, Olivier Arthur’s multiplicity formula for GSp 4 and restriction to Sp 4, Journal de l’École polytechnique — Mathématiques, Volume 6 (2019), p. 469 | DOI:10.5802/jep.99
  • Brown, Adam Arakawa-Suzuki functors for Whittaker modules, Journal of Algebra, Volume 538 (2019), p. 261 | DOI:10.1016/j.jalgebra.2019.07.027
  • Wan, Chen The local Ginzburg–Rallis model for generic representations, Journal of Number Theory, Volume 198 (2019), p. 74 | DOI:10.1016/j.jnt.2018.10.004
  • Chommaux, Marion Distinction of the Steinberg representation and a conjecture of Prasad and Takloo-Bighash, Journal of Number Theory, Volume 202 (2019), p. 200 | DOI:10.1016/j.jnt.2019.01.009
  • Binder, John Fields of rationality of automorphic representations: The case of unitary groups, Journal of Number Theory, Volume 203 (2019), p. 32 | DOI:10.1016/j.jnt.2017.07.001
  • Belkale, Prakash Extremal rays in the Hermitian eigenvalue problem, Mathematische Annalen, Volume 373 (2019) no. 3-4, p. 1103 | DOI:10.1007/s00208-018-1751-3
  • Geraghty, David Modularity lifting theorems for ordinary Galois representations, Mathematische Annalen, Volume 373 (2019) no. 3-4, p. 1341 | DOI:10.1007/s00208-018-1742-4
  • KURINCZUK, ROBERT; MATRINGE, NADIR TEST VECTORS FOR LOCAL CUSPIDAL RANKIN–SELBERG INTEGRALS, Nagoya Mathematical Journal, Volume 233 (2019), p. 170 | DOI:10.1017/nmj.2017.32
  • Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin Monoidal categories of modules over quantum affine algebras of type A and B, Proceedings of the London Mathematical Society, Volume 118 (2019) no. 1, p. 43 | DOI:10.1112/plms.12160
  • Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin A local model for the trianguline variety and applications, Publications mathématiques de l'IHÉS, Volume 130 (2019) no. 1, p. 299 | DOI:10.1007/s10240-019-00111-y
  • Offen, Omer; Sayag, Eitan Klyachko periods for Zelevinsky modules, The Ramanujan Journal, Volume 49 (2019) no. 3, p. 545 | DOI:10.1007/s11139-018-0040-9
  • Lapid, Erez; Mínguez, Alberto Geometric conditions for □-irreducibility of certain representations of the general linear group over a non-archimedean local field, Advances in Mathematics, Volume 339 (2018), p. 113 | DOI:10.1016/j.aim.2018.09.027
  • Jiang, Dihua; Zhang, Lei Local root numbers and spectrum of the local descents for orthogonal groups : p-adic case, Algebra Number Theory, Volume 12 (2018) no. 6, p. 1489 | DOI:10.2140/ant.2018.12.1489
  • Gao, Fan; Shahidi, Freydoon; Szpruch, Dani On the Local Coefficients Matrix for Coverings of SL2SL2, Geometry, Algebra, Number Theory, and Their Information Technology Applications, Volume 251 (2018), p. 207 | DOI:10.1007/978-3-319-97379-1_10
  • Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras, Inventiones mathematicae, Volume 211 (2018) no. 2, p. 591 | DOI:10.1007/s00222-017-0754-0
  • Helm, David; Moss, Gilbert Converse theorems and the local Langlands correspondence in families, Inventiones mathematicae, Volume 214 (2018) no. 2, p. 999 | DOI:10.1007/s00222-018-0816-y
  • Bergdall, John; Chojecki, Przemysław An adjunction formula for the Emerton–Jacquet functor, Israel Journal of Mathematics, Volume 223 (2018) no. 1, p. 1 | DOI:10.1007/s11856-017-1611-y
  • Dat, Jean-François Simple subquotients of big parabolically induced representations of p-adic groups, Journal of Algebra, Volume 510 (2018), p. 499 | DOI:10.1016/j.jalgebra.2018.05.022
  • Hristova, Katerina; Rumynin, Dmitriy Kac–Moody groups and cosheaves on Davis building, Journal of Algebra, Volume 515 (2018), p. 202 | DOI:10.1016/j.jalgebra.2018.08.021
  • Yamana, Shunsuke PERIODS OF AUTOMORPHIC FORMS: THE TRILINEAR CASE, Journal of the Institute of Mathematics of Jussieu, Volume 17 (2018) no. 1, p. 59 | DOI:10.1017/s1474748015000377
  • Murnaghan, Fiona Distinguished Representations of Reductive p-Adic Groups, Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms, Volume 2221 (2018), p. 135 | DOI:10.1007/978-3-319-95231-4_2
  • Offen, Omer Period Integrals of Automorphic Forms and Local Distinction, Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms, Volume 2221 (2018), p. 159 | DOI:10.1007/978-3-319-95231-4_3
  • Jantzen, Chris Duality for classical 𝑝-adic groups: The half-integral case, Representation Theory of the American Mathematical Society, Volume 22 (2018) no. 6, p. 160 | DOI:10.1090/ert/519
  • Kurinczuk, R.; Matringe, N. Extension of Whittaker functions and test vectors, Research in Number Theory, Volume 4 (2018) no. 3 | DOI:10.1007/s40993-018-0124-z
  • Ollivier, Rachel; Vignéras, Marie-France Parabolic induction in characteristic p, Selecta Mathematica, Volume 24 (2018) no. 5, p. 3973 | DOI:10.1007/s00029-018-0440-0
  • Jantzen, Chris Jacquet modules and irrreducibility of induced representations for classical p-adic groups, manuscripta mathematica, Volume 156 (2018) no. 1-2, p. 23 | DOI:10.1007/s00229-017-0955-2
  • Cai, Yuanqing Fourier coefficients for degenerate Eisenstein series and the descending decomposition, manuscripta mathematica, Volume 156 (2018) no. 3-4, p. 469 | DOI:10.1007/s00229-017-0984-x
  • Gomez, Raul; Gourevitch, Dmitry; Sahi, Siddhartha Generalized and degenerate Whittaker models, Compositio Mathematica, Volume 153 (2017) no. 2, p. 223 | DOI:10.1112/s0010437x16007788
  • Ciganović, Igor Reducibility of some generalized principal series of the metaplectic group, Glasnik Matematicki, Volume 52 (2017) no. 2, p. 257 | DOI:10.3336/gm.52.2.06
  • Fu, Qiang Affine quantum Schur algebras at roots of unity, International Journal of Mathematics, Volume 28 (2017) no. 07, p. 1750056 | DOI:10.1142/s0129167x17500562
  • Zhang, Qing A local converse theorem for U(1,1), International Journal of Number Theory, Volume 13 (2017) no. 08, p. 1931 | DOI:10.1142/s1793042117501056
  • Kaplan, Eyal The characterization of theta-distinguished representations of GL(n), Israel Journal of Mathematics, Volume 222 (2017) no. 2, p. 551 | DOI:10.1007/s11856-017-1600-1
  • Fouquet, Olivier p-adic properties of motivic fundamental lines, Journal de l’École polytechnique — Mathématiques, Volume 4 (2017), p. 37 | DOI:10.5802/jep.38
  • Hansen, David; Newton, James Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality, Journal für die reine und angewandte Mathematik, Volume 2017 (2017) no. 730, p. 1 | DOI:10.1515/crelle-2014-0130
  • Offen, Omer On parabolic induction associated with a p-adic symmetric space, Journal of Number Theory, Volume 170 (2017), p. 211 | DOI:10.1016/j.jnt.2016.06.014
  • Kaplan, Eyal THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS, Journal of the Institute of Mathematics of Jussieu, Volume 16 (2017) no. 3, p. 609 | DOI:10.1017/s1474748015000250
  • MATIĆ, IVAN COMPOSITION FACTORS OF A CLASS OF INDUCED REPRESENTATIONS OF CLASSICAL -ADIC GROUPS, Nagoya Mathematical Journal, Volume 227 (2017), p. 16 | DOI:10.1017/nmj.2016.46
  • Yamana, Shunsuke Local symmetric square L-factors of representations of general linear groups, Pacific Journal of Mathematics, Volume 286 (2017) no. 1, p. 215 | DOI:10.2140/pjm.2017.286.215
  • Wan, Chen The local Ginzburg–Rallis model over the complex field, Pacific Journal of Mathematics, Volume 291 (2017) no. 1, p. 241 | DOI:10.2140/pjm.2017.291.241
  • Kurinczuk, Robert; Matringe, Nadir Rankin–Selberg local factors modulo  ℓ ℓ, Selecta Mathematica, Volume 23 (2017) no. 1, p. 767 | DOI:10.1007/s00029-016-0258-6
  • Xu, Bin On the cuspidal support of discrete series for p-adic quasisplit Sp(N) and SO(N), manuscripta mathematica, Volume 154 (2017) no. 3-4, p. 441 | DOI:10.1007/s00229-017-0923-x
  • Treumann, David; Venkatesh, Akshay Functoriality, Smith theory, and the Brauer homomorphism, Annals of Mathematics (2016), p. 177 | DOI:10.4007/annals.2016.183.1.4
  • HELM, DAVID THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH -MODULES, Forum of Mathematics, Sigma, Volume 4 (2016) | DOI:10.1017/fms.2016.10
  • Sécherre, Vincent; Venketasubramanian, Coolimuttam G. Modular Representations of GL(n) Distinguished by GL(n−1) over a p-Adic Field, International Mathematics Research Notices (2016), p. rnw150 | DOI:10.1093/imrn/rnw150
  • Moss, Gilbert Gamma Factors of Pairs and a Local Converse Theorem in Families, International Mathematics Research Notices, Volume 2016 (2016) no. 16, p. 4903 | DOI:10.1093/imrn/rnv299
  • Ciganović, Igor; Grbac, Neven The Zelevinsky classification of unramified representations of the metaplectic group, Journal of Algebra, Volume 454 (2016), p. 357 | DOI:10.1016/j.jalgebra.2015.12.029
  • Gurevich, Maxim; Offen, Omer A criterion for integrability of matrix coefficients with respect to a symmetric space, Journal of Functional Analysis, Volume 270 (2016) no. 12, p. 4478 | DOI:10.1016/j.jfa.2016.02.008
  • Sorensen, Claus M. The local Langlands correspondence in families and Ihara's lemma for U(n), Journal of Number Theory, Volume 164 (2016), p. 127 | DOI:10.1016/j.jnt.2015.12.012
  • Abe, N.; Henniart, G.; Herzig, F.; Vignéras, M.-F. A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups, Journal of the American Mathematical Society, Volume 30 (2016) no. 2, p. 495 | DOI:10.1090/jams/862
  • Kaplan, Eyal Theta distinguished representations, inflation and the symmetric square L-function, Mathematische Zeitschrift, Volume 283 (2016) no. 3-4, p. 909 | DOI:10.1007/s00209-016-1627-8
  • Kim, Yeansu Strongly positive representations of even GSpin groups, Pacific Journal of Mathematics, Volume 280 (2016) no. 1, p. 69 | DOI:10.2140/pjm.2016.280.69
  • Ronchetti, Niccolò Local base change via Tate cohomology, Representation Theory of the American Mathematical Society, Volume 20 (2016) no. 11, p. 263 | DOI:10.1090/ert/486
  • Heiermann, Volker; Kim, Yeansu On the generic local Langlands correspondence for 𝐺𝑆𝑝𝑖𝑛 groups, Transactions of the American Mathematical Society, Volume 369 (2016) no. 6, p. 4275 | DOI:10.1090/tran/6791
  • Matringe, Nadir A Specialisation of the Bump–Friedberg L-function, Canadian Mathematical Bulletin, Volume 58 (2015) no. 3, p. 580 | DOI:10.4153/cmb-2015-014-1
  • Kaplan, Eyal Representations Distinguished by Pairs of Exceptional Representations and a Conjecture of Savin, International Mathematics Research Notices (2015), p. rnv150 | DOI:10.1093/imrn/rnv150
  • Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha Derivatives for smooth representations of GL(n, ℝ) and GL(n, ℂ), Israel Journal of Mathematics, Volume 206 (2015) no. 1, p. 1 | DOI:10.1007/s11856-015-1149-9
  • Aizenbud, Avraham; Gourevitch, Dmitry; Sahi, Siddhartha Twisted homology for the mirabolic nilradical, Israel Journal of Mathematics, Volume 206 (2015) no. 1, p. 39 | DOI:10.1007/s11856-014-1150-3
  • Matić, Ivan Strongly positive subquotients in a class of induced representations of classical p-adic groups, Journal of Algebra, Volume 444 (2015), p. 504 | DOI:10.1016/j.jalgebra.2015.07.027
  • Kaplan, Eyal Complementary results on the Rankin–Selberg gamma factors of classical groups, Journal of Number Theory, Volume 146 (2015), p. 390 | DOI:10.1016/j.jnt.2013.12.002
  • Soudry, David; Tanay, Yaacov On local descent for unitary groups, Journal of Number Theory, Volume 146 (2015), p. 557 | DOI:10.1016/j.jnt.2014.03.003
  • Choiy, Kwangho; Goldberg, David Transfer of R-groups between p-adic inner forms of SL n, Manuscripta Mathematica, Volume 146 (2015) no. 1-2, p. 125 | DOI:10.1007/s00229-014-0689-3
  • Hakim, Jeffrey; Offen, Omer Distinguished representations of GL(n) and local converse theorems, Manuscripta Mathematica, Volume 148 (2015) no. 1-2, p. 1 | DOI:10.1007/s00229-015-0740-z
  • Gurevich, Maxim On a local conjecture of Jacquet, ladder representations and standard modules, Mathematische Zeitschrift, Volume 281 (2015) no. 3-4, p. 1111 | DOI:10.1007/s00209-015-1522-8
  • Chai, Jingsong Some results on archimedean Rankin–Selberg integrals, Pacific Journal of Mathematics, Volume 273 (2015) no. 2, p. 277 | DOI:10.2140/pjm.2015.273.277
  • Matić, Ivan First occurrence indices of tempered representations of metaplectic groups, Proceedings of the American Mathematical Society, Volume 144 (2015) no. 7, p. 3157 | DOI:10.1090/proc/12943
  • Breeding, Jeffery Irreducible characters of GSp(4,q) GSp ( 4 , q ) and dimensions of spaces of fixed vectors, The Ramanujan Journal, Volume 36 (2015) no. 3, p. 305 | DOI:10.1007/s11139-014-9622-3
  • Choiy, Kwangho; Goldberg, David Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups, Transactions of the American Mathematical Society, Volume 368 (2015) no. 2, p. 1387 | DOI:10.1090/tran/6485
  • David, Agnès; Hanzer, Marcela; Ludwig, Judith The Conjectural Relation Between Generalized Shalika Models on SO4n⁡(F) and Symplectic Linear Models on Sp4n⁡(F) : A Toy Example, Women in Numbers Europe, Volume 2 (2015), p. 87 | DOI:10.1007/978-3-319-17987-2_4
  • Gorin, Vadim; Kerov, Sergei; Vershik, Anatoly Finite traces and representations of the group of infinite matrices over a finite field, Advances in Mathematics, Volume 254 (2014), p. 331 | DOI:10.1016/j.aim.2013.12.028
  • Buzzard, Kevin; Gee, Toby The conjectural connections between automorphic representations and Galois representations, Automorphic Forms and Galois Representations (2014), p. 135 | DOI:10.1017/cbo9781107446335.006
  • Ellers, Harald; Murray, John Centralizer Algebras and Degenerate Affine Hecke Algebras, Communications in Algebra, Volume 42 (2014) no. 3, p. 1074 | DOI:10.1080/00927872.2012.731622
  • Mínguez, Alberto; Sécherre, Vincent Représentations lisses modulo ℓ de GLm(D), Duke Mathematical Journal, Volume 163 (2014) no. 4 | DOI:10.1215/00127094-2430025
  • Shen, Xin The Whittaker–Shintani Functions for Symplectic Groups, International Mathematics Research Notices, Volume 2014 (2014) no. 21, p. 5769 | DOI:10.1093/imrn/rnt144
  • Mínguez, Alberto; Sécherre, Vincent Unramified ℓ-modular representations of GLn(F) and its inner forms, International Mathematics Research Notices, Volume 2014 (2014) no. 8, p. 2090 | DOI:10.1093/imrn/rns278
  • Jantzen, Chris; Liu, Baiying The generic dual of p-adic split SO 2n and local langlands parameters, Israel Journal of Mathematics, Volume 204 (2014) no. 1, p. 199 | DOI:10.1007/s11856-014-1091-2
  • Crisp, Tyrone Restriction to compact subgroups in the cyclic homology of reductive p -adic groups, Journal of Functional Analysis, Volume 267 (2014) no. 2, p. 477 | DOI:10.1016/j.jfa.2014.04.017
  • Matringe, Nadir Linear and Shalika local periods for the mirabolic group, and some consequences, Journal of Number Theory, Volume 138 (2014), p. 1 | DOI:10.1016/j.jnt.2013.11.012
  • Jantzen, Chris Tempered representations for classical p-adic groups, Manuscripta Mathematica, Volume 145 (2014) no. 3-4, p. 319 | DOI:10.1007/s00229-014-0679-5
  • Mitra, Arnab On representations ofGL2n(F) with a symplectic period, Pacific Journal of Mathematics, Volume 268 (2014) no. 2, p. 435 | DOI:10.2140/pjm.2014.268.435
  • Matringe, Nadir Unitary representations of GL(n,K) distinguished by a Galois involution for ap-adic fieldK, Pacific Journal of Mathematics, Volume 271 (2014) no. 2, p. 445 | DOI:10.2140/pjm.2014.271.445
  • Morimoto, Kazuki On the theta correspondence for (𝐺𝑆𝑝(4),𝐺𝑆𝑂(4,2)) and Shalika periods, Representation Theory of the American Mathematical Society, Volume 18 (2014) no. 3, p. 28 | DOI:10.1090/s1088-4165-2014-00451-5
  • Barbasch, Dan; Ciubotaru, Dan Unitary Hecke algebra modules with nonzero Dirac cohomology, Symmetry: Representation Theory and Its Applications, Volume 257 (2014), p. 1 | DOI:10.1007/978-1-4939-1590-3_1
  • Kaplan, Eyal On the gcd of local Rankin–Selberg integrals for even orthogonal groups, Compositio Mathematica, Volume 149 (2013) no. 4, p. 587 | DOI:10.1112/s0010437x12000644
  • Mínguez, Alberto; Sécherre, Vincent Représentations banales de, Compositio Mathematica, Volume 149 (2013) no. 4, p. 679 | DOI:10.1112/s0010437x12000590
  • Matić, Ivan The Conservation Relation for Discrete Series Representations of Metaplectic Groups, International Mathematics Research Notices, Volume 2013 (2013) no. 22, p. 5227 | DOI:10.1093/imrn/rns209
  • Scholze, Peter The Langlands-Kottwitz approach for some simple Shimura varieties, Inventiones mathematicae, Volume 192 (2013) no. 3, p. 627 | DOI:10.1007/s00222-012-0419-y
  • Scholze, Peter The Local Langlands Correspondence for GL n over p-adic fields, Inventiones mathematicae, Volume 192 (2013) no. 3, p. 663 | DOI:10.1007/s00222-012-0420-5
  • Venketasubramanian, C. G. On representations of GL(n) distinguished by GL(n − 1) over a p-adic field, Israel Journal of Mathematics, Volume 194 (2013) no. 1, p. 1 | DOI:10.1007/s11856-012-0152-7
  • Jiang, Dihua; Nien, Chufeng; Qin, Yujun Generalized Shalika models of p-adic SO4n and functoriality, Israel Journal of Mathematics, Volume 195 (2013) no. 1, p. 135 | DOI:10.1007/s11856-012-0125-x
  • Szpruch, Dani Some irreducibility theorems of parabolic induction on the metaplectic group via the Langlands-Shahidi method, Israel Journal of Mathematics, Volume 195 (2013) no. 2, p. 897 | DOI:10.1007/s11856-012-0140-y
  • Szpruch, Dani Some results in the theory of genuine representations of the metaplectic double cover ofGSp2n(F)over p-adic fields, Journal of Algebra, Volume 388 (2013), p. 160 | DOI:10.1016/j.jalgebra.2013.05.001
  • Bump, Daniel Duality Between S k and GL(n,C), Lie Groups, Volume 225 (2013), p. 355 | DOI:10.1007/978-1-4614-8024-2_34
  • Bump, Daniel The Philosophy of Cusp Forms, Lie Groups, Volume 225 (2013), p. 485 | DOI:10.1007/978-1-4614-8024-2_47
  • Bump, Daniel Schur Orthogonality, Lie Groups, Volume 225 (2013), p. 7 | DOI:10.1007/978-1-4614-8024-2_2
  • Tadić, Marko On tempered and square integrable representations of classical p-adic groups, Science China Mathematics, Volume 56 (2013) no. 11, p. 2273 | DOI:10.1007/s11425-013-4667-0
  • Kret, Arno; Lapid, Erez Jacquet modules of ladder representations, Comptes Rendus. Mathématique, Volume 350 (2012) no. 21-22, p. 937 | DOI:10.1016/j.crma.2012.10.014
  • Caraiani, Ana Local-global compatibility and the action of monodromy on nearby cycles, Duke Mathematical Journal, Volume 161 (2012) no. 12 | DOI:10.1215/00127094-1723706
  • Davis, Matt Representations of rank two affine Hecke algebras at roots of unity, Journal of Algebra, Volume 352 (2012) no. 1, p. 104 | DOI:10.1016/j.jalgebra.2011.10.046
  • Heiermann, Volker Algèbres de Hecke avec paramètres et représentations dʼun groupe p-adique classique : Préservation du spectre tempéré, Journal of Algebra, Volume 371 (2012), p. 596 | DOI:10.1016/j.jalgebra.2012.09.003
  • Gourevitch, Dmitry; Offen, Omer; Sahi, Siddhartha; Sayag, Eitan Existence of Klyachko models for GL(n,R) and GL(n,C), Journal of Functional Analysis, Volume 262 (2012) no. 8, p. 3585 | DOI:10.1016/j.jfa.2012.01.023
  • Kondo, Satoshi; Yasuda, Seidai Local L and epsilon factors in Hecke eigenvalues, Journal of Number Theory, Volume 132 (2012) no. 9, p. 1910 | DOI:10.1016/j.jnt.2012.03.002
  • Hill, David; Melvin, George; Mondragon, Damien Representations of quiver Hecke algebras via Lyndon bases, Journal of Pure and Applied Algebra, Volume 216 (2012) no. 5, p. 1052 | DOI:10.1016/j.jpaa.2011.12.015
  • Delorme, Patrick Théorème de Paley—Wiener pour les fonctions de Whittaker sur un groupe réductif p-adique, Journal of the Institute of Mathematics of Jussieu, Volume 11 (2012) no. 3, p. 501 | DOI:10.1017/s1474748011000193
  • Thorne, Jack On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne, Journal of the Institute of Mathematics of Jussieu, Volume 11 (2012) no. 4, p. 855 | DOI:10.1017/s1474748012000023
  • Zorn, Christian A. Theta dichotomy for the genuine unramified principal series of Sp~2(F), Manuscripta Mathematica, Volume 137 (2012) no. 1-2, p. 159 | DOI:10.1007/s00229-011-0462-9
  • McNamara, Peter J. Principal Series Representations of Metaplectic Groups Over Local Fields, Multiple Dirichlet Series, L-functions and Automorphic Forms (2012), p. 299 | DOI:10.1007/978-0-8176-8334-4_13
  • Adler, Jeffrey D.; Prasad, Dipendra Extensions of representations of p-adic groups, Nagoya Mathematical Journal, Volume 208 (2012), p. 171 | DOI:10.1017/s002776300001062x
  • Feigon, Brooke; Lapid, Erez; Offen, Omer On representations distinguished by unitary groups, Publications mathématiques de l'IHÉS, Volume 115 (2012) no. 1, p. 185 | DOI:10.1007/s10240-012-0040-z
  • Lauda, Aaron D.; Vazirani, Monica Crystals from categorified quantum groups, Advances in Mathematics, Volume 228 (2011) no. 2, p. 803 | DOI:10.1016/j.aim.2011.06.009
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  • CHAO, KUOK FAI GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SLℓ(F): TORAL CASE, Bulletin of the Australian Mathematical Society, Volume 84 (2011) no. 3, p. 425 | DOI:10.1017/s0004972711002383
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