@incollection{AST_2012__346__111_0, author = {Gan, Wee Teck and Gross, Benedict H. and Prasad, Dipendra}, title = {Restrictions of representations of classical groups: examples}, booktitle = {Sur les Conjectures de Gross et Prasad. I}, editor = {Gan, W. T. and Gross, B. H. and Prasad, D. and Waldspurger, J.-L.}, series = {Ast\'erisque}, pages = {111--170}, publisher = {Soci\'et\'e math\'ematique de France}, number = {346}, year = {2012}, mrnumber = {3202557}, zbl = {1279.22023}, language = {en}, url = {http://www.numdam.org/item/AST_2012__346__111_0/} }
TY - CHAP AU - Gan, Wee Teck AU - Gross, Benedict H. AU - Prasad, Dipendra TI - Restrictions of representations of classical groups: examples BT - Sur les Conjectures de Gross et Prasad. I AU - Collectif ED - Gan, W. T. ED - Gross, B. H. ED - Prasad, D. ED - Waldspurger, J.-L. T3 - Astérisque PY - 2012 SP - 111 EP - 170 IS - 346 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2012__346__111_0/ LA - en ID - AST_2012__346__111_0 ER -
%0 Book Section %A Gan, Wee Teck %A Gross, Benedict H. %A Prasad, Dipendra %T Restrictions of representations of classical groups: examples %B Sur les Conjectures de Gross et Prasad. I %A Collectif %E Gan, W. T. %E Gross, B. H. %E Prasad, D. %E Waldspurger, J.-L. %S Astérisque %D 2012 %P 111-170 %N 346 %I Société mathématique de France %U http://www.numdam.org/item/AST_2012__346__111_0/ %G en %F AST_2012__346__111_0
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra. Restrictions of representations of classical groups: examples, dans Sur les Conjectures de Gross et Prasad. I, Astérisque, no. 346 (2012), pp. 111-170. http://www.numdam.org/item/AST_2012__346__111_0/
[1] Multiplicity one theorems", Ann. of Math. 172 (2010), p. 1407-1434. | DOI | MR | Zbl
, , and - "[2] Induced representations of reductive -adic groups. I", Ann. Sci. École Norm. Sup. 10 (1977), p. 441-472. | DOI | EuDML | Numdam | MR | Zbl
and - "[3] Depth-zero supercuspidal -packets and their stability", Ann. of Math. 169 (2009), p. 795-901. | DOI | MR | Zbl
and - "[4] On some generic very cuspidal representations", Compos. Math. 146 (2010), p. 1029-1055. | DOI | MR | Zbl
and , "[5] Representations of reductive groups over finite fields", Ann. of Math. 103 (1976), p. 103-161. | DOI | MR | Zbl
and - "[6] On the functional equation of the Artin -function for characters of real representations", Invent. Math. 20 (1973), p. 125-138. | DOI | EuDML | MR | Zbl
and - "[7] Symplectic local root numbers, central critical -values and restriction problems in the representation theory of classical groups", this volume, 2012. | Numdam | MR | Zbl
, and - "[8] -functions and Fourier-Jacobi coefficients for the unitary group (3)", Invent. Math. 105 (1991), p. 445-472. | DOI | EuDML | MR | Zbl
and - "[9] Endoscopy, theta-liftings, and period integrals for the unitary group in three variables", Ann. of Math. 145 (1997), p. 419-476. | DOI | MR | Zbl
, and - "[10] On the nonvanishing of the central value of the Rankin-Selberg -functions. II", in Automorphic representations, -functions and applications: progress and prospects, Ohio State Univ. Math. Res. Inst. Publ., vol. 11, de Gruyter, 2005, p. 157-191. | MR | Zbl
, and - "[11] Models for certain residual representations of unitary groups", in Automorphic forms and -functions I. Global aspects, Contemp. Math., vol. 488, Amer. Math. Soc., 2009, p. 125-146. | DOI | MR | Zbl
, and , "[12] An inequality for local unitary Theta correspondence", manuscrit, 2008. | Numdam | Zbl
and - "[13] On the decomposition of a representation of when restricted to ", Canad. J. Math. 44 (1992), p. 974-1002. | DOI | MR | Zbl
and - "[14] On irreducible representations of ", Canad. J. Math. 46 (1994), p. 930-950. | MR | Zbl
and , "[15] From Laplace to Langlands via representations of orthogonal groups", Bull Amer. Math. Soc. (N.S.) 43 (2006), p. 163-205. | DOI | MR | Zbl
and - "[16] -functions of unitary groups and factorization of periods of Hilbert modular forms", J. Amer. Math. Soc. 6 (1993), p. 637-719. | MR | Zbl
- "[17] Theta dichotomy for unitary groups", J. Amer. Math. Soc. 9 (1996), p. 941-1004. | DOI | MR | Zbl
, and - "[18] Theta correspondences for close unitary groups", to appear in a volume in honor of S. Kudla. | MR | Zbl
, and - "[19] CAP automorphic representations of (4) I. Local -packets", Kyushu Univ. Preprint Series (2003-2004).
and - "[20] Local Gross-Prasad conjecture for (2)", slides of a talk given in Workshop on Representation theory and Automorphic Forms, National Univ. of Singapore, 2008.
- "[21] Splitting metaplectic covers of dual reductive pairs", Israel J. Math. 87 (1994), p. 361-401. | DOI | MR | Zbl
- "[22] -indistinguishability for ", Canad. J. Math. 31 (1979), p. 726-785. | MR | Zbl
and - "[23] Correspondances de Howe sur un corps -adique, Lecture Notes in Math., vol. 1291, Springer, 1987. | MR | Zbl
, and -[24] La conjecture locale de Gross-Prasad pour les groupes spéciaux orthogonaux: le cas général", to appear in Astérisque. | Numdam | MR | Zbl
and - "[25] The dual pair over a -adic field", Pacific J. Math. 127 (1987), p. 141-154. | DOI | MR | Zbl
- "[26] Howe correspondence for real unitary groups", J. Funct. Anal. 159 (1998), p. 384-431. | DOI | MR | Zbl
- "[27] Trilinear forms for representations of and local -factors", Compositio Math. 75 (1990), p. 1-46. | EuDML | Numdam | MR | Zbl
- "[28] Invariant forms for representations of over a local field", Amer. J. Math. 114 (1992), p. 1317-1363. | DOI | MR | Zbl
, "[29] On an extension of a theorem of Tunnell", Compositio Math. 94 (1994), p. 19-28. | EuDML | Numdam | MR | Zbl
, "[30] Some applications of seesaw duality to branching laws", Math. Ann. 304 (1996), p. 1-20. | DOI | EuDML | MR | Zbl
, "[31] Theta correspondence for unitary groups", Pacific J. Math. 194 (2000), p. 427-438. | DOI | MR | Zbl
, "[32] Relating invariant linear form and local epsilon factors via global methods", Duke Math. J. 138 (2007), p. 233-261. | DOI | MR | Zbl
, "[33] Generalised form of a conjecture of Jacquet and a local consequence", J. reine angew. Math. 616 (2008), p. 219-236. | MR | Zbl
and - "[34] Bessel models for (4)", J. reine angew. Math. 655 (2011), p. 189-243. | MR | Zbl
and - "[35] Automorphic representations of unitary groups in three variables, Annals of Math. Studies, vol. 123, Princeton Univ. Press, 1990. | MR | Zbl
-[36] The multiplicity formula for -packets", in The zeta functions of Picard modular surfaces, Univ. Montréal, 1992, p. 395-419. | MR | Zbl
, "[37] On Tunnell's formula for characters of ", Compositio Math. 85 (1993), p. 99-108. | EuDML | Numdam | MR | Zbl
- "[38] Two remarks on a theorem of Dipendra Prasad", Pacific J. Math. 234 (2008), p. 185-199. | DOI | MR | Zbl
, "[39] Principe de densité pour les groupes réductifs", Compositio Math. 108 (1997), p. 151-184. | DOI | MR | Zbl
- "[40] Number theoretic background", in Automorphic forms, representations and -functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., 1979, p. 3-26. | MR | Zbl
- "[41] Die Einschränkung der Charaktere von auf ", Math. Z. 119 (1971), p. 321-338. | DOI | EuDML | MR | Zbl
- "[42] Local -factors and characters of ", Amer. J. Math. 105 (1983), p. 1277-1307. | DOI | MR | Zbl
- "[43] Correspondance de Shimura", J. Math. Pures Appl. 59 (1980), p. 1-132. | MR | Zbl
- "[44] Sur les valeurs de certaines fonctions automorphes en leur centre de symétrie", Compositio Math. 54 (1985), p. 173-242. | EuDML | Numdam | MR | Zbl
, "[45] Correspondances de Shimura et quaternions", Forum Math. 3 (1991), p. 219-307. | EuDML | MR | Zbl
, "[46] Une formule intégrale reliée à la conjecture locale de Gross-Prasad", Compositio Mathematica 146 (2010), p. 1180-1290. | DOI | MR | Zbl
, "[47] Une formule intégrale reliée à la conjecture locale de Gross-Prasad, 2e partie: extension aux représentations tempérées", this volume, 2012. | Numdam | MR | Zbl
, "[48] Calcul d'une valeur d'un facteur epsilon par une formule intégrale", to appear in Astérisque. | Numdam | MR
, "[49] La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes spéciaux orthogonaux", to appear in Astérisque. | Numdam | MR | Zbl
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