Families of Galois representations and Selmer groups
Astérisque, no. 324 (2009) , 326 p.
@book{AST_2009__324__R1_0,
     author = {Bella{\"\i}che, Jo\"el and Chenevier, Ga\"etan},
     title = {Families of {Galois} representations and {Selmer} groups},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {324},
     year = {2009},
     mrnumber = {2656025},
     zbl = {1192.11035},
     language = {en},
     url = {http://www.numdam.org/item/AST_2009__324__R1_0/}
}
TY  - BOOK
AU  - Bellaïche, Joël
AU  - Chenevier, Gaëtan
TI  - Families of Galois representations and Selmer groups
T3  - Astérisque
PY  - 2009
IS  - 324
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_2009__324__R1_0/
LA  - en
ID  - AST_2009__324__R1_0
ER  - 
%0 Book
%A Bellaïche, Joël
%A Chenevier, Gaëtan
%T Families of Galois representations and Selmer groups
%S Astérisque
%D 2009
%N 324
%I Société mathématique de France
%U http://www.numdam.org/item/AST_2009__324__R1_0/
%G en
%F AST_2009__324__R1_0
Bellaïche, Joël; Chenevier, Gaëtan. Families of Galois representations and Selmer groups. Astérisque, no. 324 (2009), 326 p. http://numdam.org/item/AST_2009__324__R1_0/

[1] "Périodes p-adiques, Séminaire de Bures-sur-Yvette 1988" - Astérisque, vol. 223, 1994. | Zbl | Numdam

[2] J. Adams & J. F. Johnson - "Endoscopic groups and packets of nontempered representations", Compositio Math. 64 (1987), p. 271-309. | MR | Zbl | EuDML | Numdam

[3] J. Arthur - "Unipotent automorphic representations : conjectures", Astérisque 171-172 (1989), p. 13-71. | MR | Zbl | Numdam

[4] A. Ash & G. Stevens - "p-adic deformations of cohomology classes of subgroups of GL n ()", preprint. | MR | Zbl

[5] J. Bellaïche - "Congruences endoscopiques et représentations galoisiennes", Ph.D. Thesis, Université Paris 11, 2002.

[6] J. Bellaïche, "À propos d'un lemme de Ribet", Rend. Sem. Mat. Univ. Padova 109 (2003), p. 45-62. | MR | Zbl | EuDML | Numdam

[7] J. Bellaïche, "Sur la compatibilité entre les correspondances de Langlands locale et globale pour U(3)", Comment. Math. Helv. 81 (2006), p. 449-470. | MR | Zbl | DOI

[8] J. Bellaïche & G. Chenevier- "Formes non tempérées pour U(3) et conjectures de Bloch-Kato", Ann. Sci. École Norm. Sup. 37 (2004), p. 611-662. | MR | Zbl | EuDML | DOI

[9] J. Bellaïche & G. Chenevier, "Lissité de la courbe de Hecke de GL 2 aux points Eisenstein critiques", J. Inst. Math. Jussieu 5 (2006), p. 333-349. | MR | Zbl | DOI

[10] J. Bellaïche & G. Chenevier, "Arbres et sous-groupes de GL 2 ", preprint.

[11] J. Bellaïche, G. Chenevier, C. Khare & M. Larsen - "Converging sequences of p-adic Galois representations and density theorems", Int. Math. Res. Not. 2005 (2005), p. 3691-3720. | MR | Zbl | DOI

[12] J. Bellaïche & P. Graftieaux - "Représentations sur un anneau de valuation discrète complet", Math. Ann. 334 (2006), p. 465-488. | MR | Zbl | DOI

[13] L. Berger - "Représentations p-adiques et équations différentielles", Invent. Math. 148 (2002), p. 219-284. | MR | Zbl

[14] L. Berger, "Équations différentielles p-adiques et (φ,N)-modules filtrés", preprint.

[15] N. Bergeron & L. Clozel - "Spectre automorphe des variétés hyperboliques et applications topologiques", Astérisque 303 (2005). | MR | Zbl | Numdam

[16] V. G. Berkovich - "Étale cohomology for non-Archimedean analytic spaces", Publ. Math. I.H.É.S. 78 (1993), p. 5-161. | MR | Zbl | EuDML | Numdam | DOI

[17] J. N. Bernstein - "Le "centre" de Bernstein", in Representations of reductive groups over a local field, Travaux en Cours, Hermann, 1984, p. 1-32. | MR | Zbl

[18] J. N. Bernstein, "P-invariant distributions on GL(N) and the classification of unitary representations of GL(N) (non-Archimedean case)", in Lie group representations, II (College Park, Md., 1982/1983), Lecture Notes in Math., vol. 1041, Springer, 1984, p. 50-102. | MR | Zbl | DOI

[19] J. N. Bernstein & A. V. Zelevinsky - "Induced representations of reductive p-adic groups. I", Ann. Sci. École Norm. Sup. 10 (1977), p. 441-472. | MR | Zbl | EuDML | Numdam | DOI

[20] D. Blasius & J. D. Rogawski - "Tate classes and arithmetic quotients of the two-ball", in The zeta functions of Picard modular surfaces, Univ. Montréal, 1992, p. 421-444. | MR | Zbl

[21] D. Blasius & J. D. Rogawski, "Motives for Hilbert modular forms", Invent. Math. 114 (1993), p. 55-87. | MR | Zbl | EuDML | DOI

[22] D. Blasius & J. D. Rogawski, "Zeta functions of Shimura varieties", in Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc, 1994, p. 525-571. | MR | Zbl | DOI

[23] S. Bloch & K. Kato - "L-functions and Tamagawa numbers of motives", in The Grothendieck Festschrift, Vol. I, Progr. Math., vol. 86, Birkhäuser, 1990, p. 333-400. | MR | Zbl

[24] A. Borel - "Some finiteness properties of adele groups over number fields", Publ. Math. I.H.É.S. 16 (1963), p. 5-30. | MR | EuDML | Numdam | DOI

[25] A. Borel, "Automorphic L-functions", in Automorphic forms, representations and L-functions, Proceedings of Symposia in Pure Mathematics, Oregon State Univ., Corvallis, Ore., 1977), vol. 33, Amer. Math. Soc, Providence, RI, 1979, p. 27-61. | MR | Zbl

[26] A. Borel & W. Casselman (eds.) - Automorphic forms, representations and L-functions, Proceedings of Symposia in Pure Mathematics, vol. 33, 1979. | MR | Zbl

[27] S. Bosch, U. Güntzer & R. Remmert - Non-Archimedean analysis, Grund. Math. Wiss., vol. 261, Springer, 1984. | MR | Zbl

[28] N. Bourbaki - Éléments de mathématiques. Algèbre, Actualités Scientifiques et Industrielles, Hermann, 1961. | Zbl | MR

[29] N. Bourbaki, Éléments de mathématiques. Algèbre commutative, Actualités Scientifiques et Industrielles, Hermann, 1961. | Zbl

[30] C. Breuil & M. Emerton - "Représentations p-adiques ordinaires de GL 2 ( p ) et compatibilité local-global", preprint I.H.É.S. | MR

[31] C. J. Bushnell & P. C. Kutzko - "Smooth representations of reductive p-adic groups : structure theory via types", Proc. London Math. Soc. 77 (1998), p. 582-634. | MR | Zbl | DOI

[32] K. Buzzard - "Eigenvarieties", in L-functions and Galois representations, London Math. Soc. Lecture Note Ser., vol. 320, Cambridge Univ. Press, 2007, p. 59-120. | MR | Zbl | DOI

[33] H. Carayol - "Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet", in p-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), Contemp. Math., vol. 165, Amer. Math. Soc.., 1994, p. 213-237. | MR | Zbl | DOI

[34] W. Casselman - "The unramified principal series of 𝔭-adic groups. I. The spherical function", Compositio Math. 40 (1980), p. 387-406. | MR | Zbl | EuDML | Numdam

[35] W. Casselman, "Introduction to the theory of admissible representations of p-adic reductive groups", unpublished, http://www.math.ubc.ca/~cass/research/p-adic-book.dvi.

[36] G. Chenevier - "Familles p-adiques de formes automorphes pour GL n ", J. reine angew. Math. 570 (2004), p. 143-217. | MR | Zbl

[37] G. Chenevier, "Une correspondance de Jacquet-Langlands p-adique", Duke Math. J. 126 (2005), p. 161-194. | MR | Zbl | DOI

[38] G. Chenevier, "On number fields with given ramification", Compos. Math. 143 (2007), p. 1359-1373. | MR | DOI

[39] G. Chenevier, "Quelques courbes de Hecke se plongent dans l'espace de Colmez", J. Number Theory 128 (2008), p. 2430-2449. | MR | Zbl | DOI

[40] L. Clozel - "Représentations galoisiennes associées aux représentations automorphes autoduales de GL(n)", Publ. Math. I.H.É.S. 73 (1991), p. 97-145. | MR | Zbl | EuDML | Numdam | DOI

[41] L. Clozel, M. Harris & R. Taylor - "Automorphy for some l-adic lifts of automorphic mod l representations", preprint. | Zbl | Numdam | MR | DOI

[42] R. F. Coleman - "Classical and overconvergent modular forms", Invent. Math. 124 (1996), p. 215-241. | MR | Zbl | DOI

[43] R. F. Coleman, "p-adic Banach spaces and families of modular forms", Invent Math. 127 (1997), p. 417-479. | MR | Zbl | DOI

[44] R. F. Coleman & B. Mazur - "The eigencurve", in Galois representations in arithmetic algebraic geometry (Durham, 1996), London Math. Soc. Lecture Note Ser., vol. 254, Cambridge Univ. Press, 1998, p. 1-113. | MR | Zbl

[45] P. Colmez - "Les conjectures de monodromie p-adiques", Astérisque 290 (2003), p. 53-101, Séminaire Bourbaki, vol. 2001/2002, exposé n° 897. | MR | Zbl | EuDML | Numdam

[46] P. Colmez, "Série principale unitaire pour GL 2 ( p ) et représentations triangulines de dimension 2", preprint. people.math.jussieu.fr/~colmez/triangulines | MR

[47] B. Conrad - "Irreducible components of rigid spaces", Ann. Inst. Fourier (Grenoble) 49 (1999), p. 473-541. | MR | Zbl | EuDML | Numdam | DOI

[48] B. Conrad, "Relative ampleness in rigid geometry", Ann. Inst. Fourier (Grenoble) 56 (2006), p. 1049-1126. | Zbl | EuDML | Numdam | DOI

[49] C. W. Curtis & I. Reiner - Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1962. | Zbl

[50] P. Deligne - "Les constantes des équations fonctionnelles des fonctions L", in Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Springer , 1973, p. 501-597. Lecture Notes in Math., Vol. 349. | Zbl | DOI

[51] J. Dieudonné - Sur les groupes classiques, Hermann, 1973, Troisième édition revue et corrigée, Publications de l'nstitut de Mathématique de l'Université de Strasbourg, VI, Actualités Scientifiques et Industrielles, No. 1040. | Zbl

[52] M. Emerton - "A local-global compatibility conjecture in the p-adic Langlands programme for GL 2/ ", Pure Appl. Math. Q. 2 (2006), p. 279-393. | Zbl | DOI

[53] M. Emerton, "On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms", Invent. Math. 164 (2006), p. 1-84. | Zbl | DOI

[54] J.-M. Fontaine - "Représentations p-adiques des corps locaux. I", in The Grothendieck Festschrift, Vol. II, Progr. Math., vol. 87, Birkhäuser, 1990, p. 249-309. | Zbl

[55] J.-M. Fontaine & B. Perrin-Riou - "Autour des conjectures de Bloch et Kato : cohomologie galoisienne et valeurs de fonctions L", in Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., 1994, p. 599-706. | Zbl | DOI

[56] M. Gerstenhaber - "On nilalgebras and linear varieties of nilpotent matrices. III", Ann. of Math. 70 (1959), p. 167-205. | Zbl | DOI

[57] B. H. Gross - "L-functions at the central critical point", in Motives (U. Jannsen, S. L. Kleiman & J-P. Serre, eds.), Proceedings of Symposia in Pure Mathematics, vol. 55. | Zbl

[58] G. Harder & R. Pink - "Modular konstruierte unverzweigte abelsche p-Erweiterungen von 𝐐(ζ p ) und die Struktur ihrer Galoisgruppen", Math. Nachr. 159 (1992), p. 83-99. | Zbl | DOI

[59] M. Harris - "Cohomological automorphic forms on unitary groups. II. Period relations and values of L-functions", in Harmonic analysis, group representations, automorphic forms and invariant theory, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., vol. 12, World Sci. Publ., Hackensack, NJ, 2007, p. 89-149. | Zbl

[60] M. Harris et al. - "Stabilization of the trace formula, Shimura varieties, and arithmetic applications", book project of the GRFA seminar of Paris 7 university, http://www.institut.math.jussieu.fr/projets/fa/bp0.html. | Zbl

[61] M. Harris & J.-P. Labesse - "Conditional base change for unitary groups", Asian J. Math. 8 (2004), p. 653-683. | Zbl | DOI

[62] M. Harris & R. Taylor - The geometry and cohomology of some simple Shimura varieties, Annals of Mathematics Studies, vol. 151, Princeton University Press, 2001. | Zbl

[63] R. Hartshorne - Algebraic geometry, Springer, 1977, Graduate Texts in Mathematics, No. 52. | Zbl | DOI

[64] L. Herr - "Sur la cohomologie galoisienne des corps p-adiques", Bull. Soc. Math. France 126 (1998), p. 563-600. | Zbl | EuDML | Numdam | DOI

[65] H. Hida - p-adic automorphic forms on Shimura varieties, Springer Monographs in Mathematics, Springer, 2004. | Zbl | DOI

[66] J. Hoffstein & W. Luo - "Nonvanishing of L-series and the combinatorial sieve", Math. Res. Lett. 4 (1997), p. 435-444, with an appendix by David E. Rohrlich. | Zbl | DOI

[67] N. Iwahori & H. Matsumoto - "On some Bruhat decomposition and the structure of the Hecke rings of 𝔭-adic Chevalley groups", Publ. Math. I.H.É.S. 25 (1965), p. 5-48. | Zbl | EuDML | Numdam | DOI

[68] H. Jacquet & J. A. Shalika - "A non-vanishing theorem for zeta functions of GL n ", Invent. Math. 38 (1976/77), p. 1-16. | Zbl | EuDML | DOI

[69] U. Jannsen, S. L. Kleiman & J-P. Serre (eds.) - Motives, Proceedings of Symposia in Pure Mathematics, vol. 55.

[70] K. Kato - "p-adic Hodge theory and values of zeta functions of modular forms", Astérisque 295 (2004), p. 117-290. | Zbl | Numdam

[71] K. S. Kedlaya - "A p-adic local monodromy theorem", Ann. of Math. 160 (2004), p. 93-184. | Zbl | DOI

[72] K. S. Kedlaya, "Slope fitrations revisited", Doc. Math. 10 (2005), p. 447-525. | Zbl | EuDML

[73] M. Kisin - "Overconvergent modular forms and the Fontaine-Mazur conjecture", Invent. Math. 153 (2003), p. 373-454. | Zbl | DOI

[74] M. Kisin, "Geometric deformations of modular Galois representations", Invent. Math. 157 (2004), p. 275-328. | Zbl | DOI

[75] T. Konno & K. Konno - "CAP automorphic representations of U E/F (4). I. Local A-packets", preprint Kyushu University, 2003.

[76] J.-P. Labesse - "Cohomologie, stabilisation et changement de base", Astérisque 257 (1999). | Zbl | Numdam

[77] S. Lang - Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. | Zbl

[78] R. P. Langlands & D. Ramakrishnan (eds.) - The zeta functions of Picard modular surfaces, Université de Montréal Centre de Recherches Mathématiques, 1992. | Zbl

[79] M. Lazard - "Les zéros des fonctions analytiques d'une variable sur un corps valué complet", Publ. Math. I.H.É.S. 14 (1962), p. 47-75. | EuDML | Numdam | DOI

[80] R. Liu - "Cohomology and duality for (ϕ,Γ)-modules over the Robba ring", Int. Math. Res. Not. 2008 (2008), Art. ID rnm150, 32. | Zbl

[81] I. G. Macdonald - Spherical functions on a group of p-adic type, Ramanujan Institute, Centre for Advanced Study in Mathematics, University of Madras, Madras, 1971, Publications of the Ramanujan Institute, No. 2. | Zbl

[82] I. G. Macdonald, Symmetric functions and Hall polynomials, The Clarendon Press Oxford University Press, 1979, Oxford Mathematical Monographs. | Zbl

[83] H. Matsumura - Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, 1986. | Zbl

[84] B. Mazur - "An introduction to the deformation theory of Galois representations", in Modular forms and Fermat's last theorem (Boston, MA, 1995), Springer, 1997, p. 243-311. | Zbl | DOI

[85] B. Mazur, "The theme of p-adic variation", in Mathematics : frontiers and perspectives, Amer. Math. Soc., 2000, p. 433-459. | Zbl

[86] B. Mazur & A. Wiles - "Class fields of abelian extensions of 𝐐", Invent. Math. 76 (1984), p. 179-330. | Zbl | EuDML | DOI

[87] C. Mœglin & J.-L. Waldspurger - "Le spectre résiduel de GL(n)", Ann. Sci. École Norm. Sup. 22 (1989), p. 605-674. | Zbl | EuDML | Numdam | DOI

[88] S. Morel - "Étude de la cohomologie de certaines variétés de Shimura non compactes", preprint.

[89] J. Nekovář - "On the parity of ranks of Selmer groups. II", C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), p. 99-104. | Zbl | DOI

[90] J. Nekovář, "Selmer complexes", Astérisque 310 (2006). | Zbl | Numdam

[91] L. Nyssen - "Pseudo-représentations", Math. Ann. 306 (1996), p. 257-283. | Zbl | EuDML | DOI

[92] C. Procesi - "The invariant theory of n×n matrices", Advances in Math. 19 (1976), p. 306-381. | Zbl | DOI

[93] C. Procesi, "A formal inverse to the Cayley-Hamilton theorem", J. Algebra 107 (1987), p. 63-74. | Zbl | DOI

[94] M. Raynaud - Anneaux locaux henséliens, Lecture Notes in Math., Vol. 169, Springer, 1970. | Zbl

[95] M. Raynaud & L. Gruson - "Critères de platitude et de projectivité. Techniques de "platification" d'un module", Invent. Math. 13 (1971), p. 1-89. | Zbl | EuDML | DOI

[96] K. A. Ribet - "A modular construction of unramified p-extensions of (μ p )", Invent. Math. 34 (1976), p. 151-162. | Zbl | EuDML | DOI

[97] F. Rodier - "Décomposition de la série principale des groupes réductifs p-adiques", in Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., vol. 880, Springer, 1981, p. 408-424. | Zbl | DOI

[98] F. Rodier, "Decomposition of principal series for reductive p-adic groups and the Langlands' classification", in Operator algebras and group representations, Vol. II (Neptun, 1980), Monogr. Stud. Math., vol. 18, Pitman, 1984, p. 86-94. | MR | Zbl

[99] J. D. Rogawski - Automorphic representations of unitary groups in three variables, Annals of Mathematics Studies, vol. 123, Princeton University Press, 1990. | MR | Zbl

[100] J. D. Rogawski, "Analytic expression for the number of points mod p", in The zeta functions of Picard modular surfaces, Univ. Montréal, 1992, p. 65-109. | MR | Zbl

[101] J. D. Rogawski, "The multiplicity formula for A-packets", in The zeta functions of Picard modular surfaces, Univ. Montréal, 1992, p. 395-419. | MR | Zbl

[102] R. Rouquier - "Caractérisation des caractères et pseudo-caractères", J. Algebra 180 (1996), p. 571-586. | MR | Zbl | DOI

[103] K. Rubin - "The "main conjectures" of Iwasawa theory for imaginary quadratic fields", Invent Math. 103 (1991), p. 25-68. | MR | Zbl | EuDML | DOI

[104] K. Rubin, Euler systems, Annals of Mathematics Studies, vol. 147, Princeton University Press, 2000. | MR | Zbl

[105] P. Schneider - "Nonarchimedean functional analysis", Springer Monographs in Math., 2002. | MR | Zbl | DOI

[106] P. Schneider & E.-W. Zink - "K-types for the tempered components of a p-adic general linear group", J. reine angew. Math. 517 (1999), p. 161-208. | MR | Zbl

[107] S. Sen - "Continuous cohomology and p-adic Galois representations", Invent. Math. 62 (1980/81), p. 89-116. | MR | Zbl | EuDML | DOI

[108] S. Sen, "An infinite-dimensional Hodge-Tate theory", Bull. Soc. Math. France 121 (1993), p. 13-34. | MR | Zbl | EuDML | Numdam | DOI

[109] J-P. Serre - "Endomorphismes complètement continus des espaces de Banach p-adiques", Publ. Math. I.H.É.S. 12 (1962), p. 69-85. | MR | Zbl | EuDML | Numdam | DOI

[110] J-P. Serre, Corps locaux, Hermann, 1968, Deuxième édition, Publications de l'Université de Nancago, No. VIII. | MR

[111] J-P. Serre, Cours d'arithmétique, P.U.F., 1970. | MR | Zbl

[112] C. Skinner & E. Urban - "Sur les déformations p-adiques des formes de Saito-Kurokawa", C. R. Math. Acad. Sci. Paris 335 (2002), p. 581-586, a more detailed version appeared in [113]. | MR | Zbl | DOI

[113] C. Skinner & E. Urban, "Sur les déformations p-adiques de certaines représentations automorphes", J. Inst. Math. Jussieu 5 (2006), p. 629-698. | MR | Zbl | DOI

[114] C. Skinner & E. Urban, "Vanishing of L-functions and ranks of Selmer groups", in International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, p. 473-500. | MR | Zbl

[115] C. Soulé - "On higher p-adic regulators", in Algebraic K-theory, Evanston 1980 (Proc. Conf, Northwestern Univ., Evanston, Ill, 1980), Lecture Notes in Math., vol. 854, Springer, 1981, p. 372-401. | MR | Zbl | DOI

[116] J. Tate - "Number theoretic background", in Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corval-lis, Ore., 1977), Part 2, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., 1979, p. 3-26. | MR | Zbl

[117] R. Taylor - "Galois representations associated to Siegel modular forms of low weight", Duke Math. J. 63 (1991), p. 281-332. | MR | Zbl

[118] R. Taylor & T. Yoshida - "Compatibility of local and global Langlands correspondences", J. Amer. Math. Soc. 20 (2007), p. 467-493. | MR | Zbl | DOI

[119] E. Urban - "On residually reducible representations on local rings", J. Algebra 212 (1999), p. 738-742. | MR | Zbl | DOI

[120] M.-F. Vignéras - Représentations l-modulaires d'un groupe réductif p-adique avec lp, Progress in Mathematics, vol. 137, Birkhäuser, 1996. | MR | Zbl

[121] J.-L. Waldspurger - "Sur les coefficients de Fourier des formes modulaires de poids demi-entier", J. Math. Pures Appl. 60 (1981), p. 375-484. | MR | Zbl

[122] T. Weston - "Geometric Euler systems for locally isotropic motives", Compos. Math. 140 (2004), p. 317-332. | MR | Zbl | DOI

[123] A. Wiles - "The Iwasawa conjecture for totally real fields", Ann. of Math. 131 (1990), p. 493-540. | MR | Zbl | DOI

[124] A. Yamagami - "On p-adic families of Hilbert cusp forms of finite slope", J. Number Theory 123 (2007), p. 363-387. | MR | Zbl | DOI

[125] A. V. Zelevinsky - "Induced representations of reductive 𝔭-adic groups. II. On irreducible representations of GL(n)", Ann. Sci. École Norm. Sup. 13 (1980), p. 165-210. | MR | Zbl | EuDML | Numdam | DOI