Voir la notice de l'article provenant de la source American Mathematical Society
@article{10_1090_S0894_0347_2014_00817_1,
author = {Sun, Binyong and Zhu, Chen-Bo},
title = {Conservation relations for local theta correspondence},
journal = {Journal of the American Mathematical Society},
pages = {939--983},
publisher = {mathdoc},
volume = {28},
number = {4},
year = {2015},
doi = {10.1090/S0894-0347-2014-00817-1},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00817-1/}
}
TY - JOUR AU - Sun, Binyong AU - Zhu, Chen-Bo TI - Conservation relations for local theta correspondence JO - Journal of the American Mathematical Society PY - 2015 SP - 939 EP - 983 VL - 28 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00817-1/ DO - 10.1090/S0894-0347-2014-00817-1 ID - 10_1090_S0894_0347_2014_00817_1 ER -
%0 Journal Article %A Sun, Binyong %A Zhu, Chen-Bo %T Conservation relations for local theta correspondence %J Journal of the American Mathematical Society %D 2015 %P 939-983 %V 28 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00817-1/ %R 10.1090/S0894-0347-2014-00817-1 %F 10_1090_S0894_0347_2014_00817_1
Sun, Binyong; Zhu, Chen-Bo. Conservation relations for local theta correspondence. Journal of the American Mathematical Society, Tome 28 (2015) no. 4, pp. 939-983. doi: 10.1090/S0894-0347-2014-00817-1
[1] , Reductive dual pair correspondence for complex groups J. Funct. Anal. 1995 1 42
[2] , Representations of the group ðºð¿(ð,ð¹), where ð¹ is a local non-Archimedean field Uspehi Mat. Nauk 1976 5 70
[3] Canonical extensions of Harish-Chandra modules to representations of ðº Canad. J. Math. 1989 385 438
[4] Quantum mechanical commutation relations and theta functions 1966 361 383
[5] Sur les groupes classiques 1948
[6] On the structure of unitary groups. II Amer. J. Math. 1953 665 678
[7] Sur les représentations différentiables des groupes de Lie algébriques Ann. Sci. Ãcole Norm. Sup. (4) 1991 257 318
[8] Représentations tempérées des groupes de Lie nilpotents J. Funct. Anal. 1989 420 457
[9] , , Symplectic local root numbers, central critical ð¿-values, and restriction problems in the representation theory of classical groups Astérisque 2012
[10] , Formal degrees and local theta correspondence Invent. Math. 2014 509 672
[11] , The local Langlands conjecture for ðºðð(4) II: the case of inner forms Amer. J. Math. 2014
[12] , An inequality for local unitary theta correspondence Ann. Fac. Sci. Toulouse Math. (6) 2011 167 202
[13] Cohomological automorphic forms on unitary groups. II. Period relations and values of ð¿-functions 2007 89 149
[14] , , Theta dichotomy for unitary groups J. Amer. Math. Soc. 1996 941 1004
[15] ð-series and invariant theory 1979 275 285
[16] The oscillator representation: algebraic and analytic preliminaries
[17] Transcending classical invariant theory J. Amer. Math. Soc. 1989 535 552
[18] On the local theta-correspondence Invent. Math. 1986 229 255
[19] Splitting metaplectic covers of dual reductive pairs Israel J. Math. 1994 361 401
[20] Notes on the local theta correspondence, Lecture notes from the European School of Group Theory 1996
[21] , Degenerate principal series and invariant distributions Israel J. Math. 1990 25 45
[22] , Ramified degenerate principal series representations for ðð(ð) Israel J. Math. 1992 209 256
[23] , On first occurrence in the local theta correspondence 2005 273 308
[24] , Degenerate principal series representations for ð(ð,ð) Israel J. Math. 1997 253 306
[25] Singular unitary representations of classical groups Invent. Math. 1989 237 255
[26] Minimal representations & reductive dual pairs 2000 293 340
[27] , , MVW-extensions of quaternionic classical groups Math. Z. 2014 81 89
[28] Howe quotients of unitary characters and unitary lowest weight modules Represent. Theory 2006 21 47
[29] , On the local factors of representations of classical groups 2005 309 359
[30] , Degenerate principal series and local theta correspondence Trans. Amer. Math. Soc. 1998 5017 5046
[31] , Degenerate principal series and local theta correspondence. II Israel J. Math. 1997 29 59
[32] , Degenerate principal series and local theta correspondence. III. The case of complex groups J. Algebra 2008 336 359
[33] , Degenerate principal series of metaplectic groups and Howe correspondence 2013 379 408
[34] , , , The explicit duality correspondence of (ðð(ð,ð),ð*(2ð)) J. Funct. Anal. 2003 71 100
[35] An introduction to abstract harmonic analysis 1953
[36] The conservation relation for cuspidal representations Math. Ann. 2012 179 188
[37] , , Correspondances de Howe sur un corps ð-adique 1987
[38] Introduction to Quadratic Forms 1973
[39] First occurrence for the dual pairs (ð(ð,ð),ð(ð,ð )) Canad. J. Math. 1999 636 657
[40] On the local Howe duality correspondence Internat. Math. Res. Notices 1993 279 287
[41] , On the occurrence of admissible representations in the real Howe correspondence in stable range Manuscripta Math. 2008 135 141
[42] On Howeâs duality theorem J. Funct. Anal. 1988 160 183
[43] The oscillator duality correspondence for the pair ð(2,2),ðð(2,ð ) Mem. Amer. Math. Soc. 1989
[44] , ð factor of representations of classical groups Proc. Nat. Acad. Sci. U.S.A. 1986 4589 4593
[45] On the Howe duality conjecture Compositio Math. 1984 333 399
[46] Complement to the appendix of: âOn the Howe duality conjectureâ [MR0743016] Represent. Theory 2013 176 179
[47] On some explicit formulas in the theory of Weil representation Pacific J. Math. 1993 335 371
[48] The congruence subgroup problem over local fields Amer. J. Math. 1970 771 778
[49] Quadratic and Hermitian forms 1985
[50] ð-adic Lie groups 2011
[51] Dual pairs and contragredients of irreducible representations Pacific J. Math. 2011 485 494
[52] Almost linear Nash groups 2013
[53] On representations of real Jacobi groups Sci. China Math. 2012 541 555
[54] Démonstration dâune conjecture de dualité de Howe dans le cas ð-adique, ðâ 2 1990 267 324
[55] On the classification of Hermitian forms. II. Semisimple rings Invent. Math. 1972 119 141
[56] Real reductive groups. I 1988
[57] Real reductive groups. II 1992
[58] Sur certains groupes dâopérateurs unitaires Acta Math. 1964 143 211
[59] The Witt group of quadratic characters Math. Scand. 1986 71 92
[60] Degenerate principal series representations for quaternionic unitary groups Israel J. Math. 2011 77 124
[61] Theta dichotomy and doubling epsilon factors for Ìðð_{ð}(ð¹) Amer. J. Math. 2011 1313 1364
Cité par Sources :