gsp4.org Category Browser
Theta correspondence
You are here:
Root->
Local representation theory [2]->
Archimedean representation theory [28]->
Theta correspondence [144]Books (2)
- The oscillator duality correspondence for the pair ${rm O}(2,2),;{rm Sp}(2,R)$ [1218]
- Tomasz Przebinda
- Mem. Amer. Math. Soc.
- Volume: 79
- Year: 1989
- Pages: x+105 pp.
- MR number: 0979944
- Some local-global non-vanishing results for theta lifts from orthogonal groups [1374]
- Shuichiro Takeda
- University of Pennsylvania PhD thesis
- Year: 2006
- Pages: 73 pp
Articles (40)
- A group extension and its unitary representation [1083]
- Ichiro Satake
- Sugaku
- Volume: 21
- Year: 1969
- Pages: 241-253
- MR number: 0276417
- Discrete spectrum of the reductive dual pair $({rm O}(p,,q),,{rm Sp}(2m))$ PDF [361]
- Jeffrey Adams
- Invent. Math.
- Volume: 74
- Year: 1983
- Pages: 449-475
- MR number: 0724015
- Seesaw dual reductive pairs [310]
- Stephen Kudla
- Automorphic forms of several variables (Katata, 1983)
- Volume: Progr. Math., 46
- Year: 1984
- Pages: 244-268
- MR number: 0763017
- Representation de Weil et changement de base quadratique dans le cas archimedien. II. [174]
- Michel Cognet
- Bull. Soc. Math. France
- Volume: 114
- Year: 1986
- Pages: 325-354
- MR number: 0878241
- Coadjoint orbits and reductive dual pairs [362]
- Jeffrey Adams
- Adv. Math.
- Volume: 63
- Year: 1987
- Pages: 138-151
- MR number: 0872350
- Small unitary representations of classical groups [779]
- Roger Howe
- Math. Sci. Res. Inst. Publ.
- Volume: 6
- Year: 1987
- Pages: 121-150
- MR number: 0880374
- Small unitary representations of classical groups [780]
- Roger Howe
- Sympos. Math.
- Volume: XXIX
- Year: 1987
- Pages: 197-204
- MR number: 0951186
- $L$-functoriality for dual pairs [383]
- Jeffrey Adams
- Ast'erisque
- Volume: 171-172
- Year: 1989
- Pages: 85-129
- MR number: 1021501
- Explicit Howe duality in the stable range PDF [191]
- David Soudry
- J. Reine Angew. Math.
- Volume: 396
- Year: 1989
- Pages: 70-86
- MR number: 0988548
- Theta lifting for unitary representations with nonzero cohomology [783]
- Jian-Shu Li
- Duke Math. J.
- Volume: 61
- Year: 1990
- Pages: 913-937
- MR number: 1084465
- Arithmetic automorphic forms for the nonholomorphic discrete series of ${rm GSp}(2)$ [316]
- Michael Harris; Stephen Kudla
- Duke Math. J.
- Volume: 66
- Year: 1992
- Pages: 59-121
- MR number: 1159432
- Invariant distributions of classical groups [1182]
- Chen-Bo Zhu
- Duke Math. J.
- Volume: 65
- Year: 1992
- Pages: 85-119
- MR number: 1148986
- Nonvanishing theorems for the cohomology of certain arithmetic quotients [35]
- Jian-Shu Li
- J. Reine Angew. Math.
- Volume: 428
- Year: 1992
- Pages: 177-217
- MR number: 1166512
- On the degree $5$ $L$-function for ${rm Sp}(2)$ [32]
- Stephen Kudla; Stephen Rallis; David Soudry
- Invent. Math.
- Volume: 107
- Year: 1992
- Pages: 483-541
- MR number: 1150600
- A regularized Siegel-Weil formula: the first term identity [43]
- Stephen Kudla; Stephen Rallis
- Ann. of Math.
- Volume: 140
- Year: 1994
- Pages: 1-80
- MR number: 1289491
- Splitting metaplectic covers of dual reductive pairs [318]
- Stephen Kudla
- Israel J. Math.
- Volume: 87
- Year: 1994
- Pages: 361-401
- MR number: 1286835
- Commutation relations of differential operators and Whittaker functions ${rm Sp}_2 (mathbf R)$ [49]
- Shinji Niwa
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 71
- Year: 1995
- Pages: 189-191
- MR number: 1362994
- Reductive dual pair correspondence for complex groups [376]
- Jeffrey Adams; Dan Barbasch
- J. Funct. Anal.
- Volume: 132
- Year: 1995
- Pages: 1-42
- MR number: 1346217
- The duality correspondence of infinitesimal characters [1226]
- Tomasz Przebinda
- Colloq. Math.
- Volume: 70
- Year: 1996
- Pages: 93-102
- MR number: 1373285
- Degenerate principal series and local theta correspondence. II [1184]
- Soo Teck Lee; Chen-Bo Zhu
- Israel J. Math.
- Volume: 100
- Year: 1997
- Pages: 29-59
- MR number: 1469104
- On certain small representations of indefinite orthogonal groups [1233]
- Jing-Song Huang; Chen-Bo Zhu
- Represent. Theory
- Volume: 1
- Year: 1997
- Pages: 190-206
- MR number: 1457244
- A result on the Gelfand-Kirillov dimension of representations of classical groups [1185]
- Chen-Bo Zhu
- Proc. Amer. Math. Soc.
- Volume: 126
- Year: 1998
- Pages: 3125-3130
- MR number: 1452837
- Genuine representations of the metaplectic group [385]
- Jeffrey Adams; Dan Barbasch
- Compositio Math.
- Volume: 113
- Year: 1998
- Pages: 23-66
- MR number: 1638210
- Lifting of characters on orthogonal and metaplectic groups [384]
- Jeffrey Adams
- Duke Math. J.
- Volume: 92
- Year: 1998
- Pages: 129-178
- MR number: 1609329
- On certain distinguished unitary representations supported on null cones [1177]
- Eng-Chye Tan; Chen-Bo Zhu
- Amer. J. Math.
- Volume: 120
- Year: 1998
- Pages: 1059-1076
- MR number: 1646054
- Nonvanishing of global theta lifts from orthogonal groups [772]
- Brooks Roberts
- J. Ramanujan Math. Soc.
- Volume: 14
- Year: 1999
- Pages: 131-194
- MR number: 1727710
- Bernstein degree of singular unitary highest weight representations of the metaplectic group [1246]
- Kyo Nishiyama; Hiroyuki Ochiai
- Proc. Japan Acad. Ser. A Math. Sci
- Volume: 75
- Year: 1999
- Pages: 9-11
- MR number: 1685908
- On the dual pairs $({rm O}(p,q),{rm SL}(2,R)), ({rm U}(p,q),{rm U}(1,1))$ and $({rm Sp}(p,q),{rm O}sp *(4))$ [1178]
- Annegret Paul; Eng-Chye Tan
- Pacific J. Math.
- Volume: 187
- Year: 1999
- Pages: 349-378
- MR number: 1675041
- On the theta lift for the trivial representation [1179]
- Eng-Chye Tan
- Adv. Stud. Pure Math.
- Volume: 26
- Year: 2000
- Pages: 213-234
- MR number: 1770722
- Theta lifting of two-step nilpotent orbits for the pair $roman O(p,q)times{rm Sp}(2n,Bbb R)$ [1247]
- Kyo Nishiyama
- Infinite dimensional harmonic analysis (Kyoto, 1999). Gr"abner, Altendorf
- Year: 2000
- Pages: 278-289
- MR number: 1851930
- On the $({germ g},K)$-cohomology of certain theta lifts [1186]
- Soo Teck Lee; Chen-Bo Zhu
- Pacific J. Math.
- Volume: 199
- Year: 2001
- Pages: 93-110
- MR number: 1847149
- Tensor product of degenerate principal series and local theta correspondence [785]
- Jian-Shu Li; Eng-Chye Tan; Chen-Bo Zhu
- J. Funct. Anal.
- Volume: 186
- Year: 2001
- Pages: 381-431
- MR number: 1864829
- Eigendistributions for orthogonal groups and representations of symplectic groups [1187]
- Roger Howe; Chen-Bo Zhu
- J. Reine Angew. Math.
- Volume: 545
- Year: 2002
- Pages: 121-166
- MR number: 1896100
- The explicit duality correspondence of $({rm Sp}(p,q),{rm O}sp *(2n))$ [1180]
- Jian-Shu Li; Annegret Paul; Eng-Chye Tan; Chen-Bo Zhu
- J. Funct. Anal.
- Volume: 200
- Year: 2003
- Pages: 71-100
- MR number: 1974089
- Theta-10 [393]
- Jeffrey Adams
- Contributions to automorphic forms, geometry, and number theory. Johns Hopkins UP, Baltimore, 2004
- Year: 2004
- Pages: 39-56
- MR number: 2058602
- On the Howe correspondence for symplectic-orthogonal dual pairs [1217]
- Annegret Paul
- J. Funct. Anal.
- Volume: 228
- Year: 2005
- Pages: 270-310
- MR number: 2175409
- Stable branching rules for classical symmetric pairs [1181]
- Roger Howe; Eng-Chye Tan; Jeb Willenbring
- Trans. Amer. Math. Soc.
- Volume: 357
- Year: 2005
- Pages: 1601-1626
- MR number: 2115378
- Restriction of Saito-Kurokawa representations [1336]
- Wee Teck Gan
- Proceedings of the 9th Autumn Workshop on Number Theory, Hakuba, Japan, 2006
- Year: 2006
- Pages: 9 pp
- Some local-global non-vanishing results for theta lifts from orthogonal groups [1373]
- Shuichiro Takeda
- pdf
- Year: 2006
- Pages:
- Spinor $L$-functions, theta correspondence, and Bessel coefficients [1391]
- Philippe Michel; Ramin Takloo-Bighash
- Forum Math.
- Volume: 19
- Year: 2007
- Pages: 487-554
- MR number: 2328118
Preprints (2)
- The Saito-Kurokawa space of $PGSp_4$ and its transfer to inner forms [1379]
- Wee Teck Gan
- pdf
- Year: 2005
- Pages: 32 pp
- Restrictions of Saito-Kurokawa representations (with an appendix by Gordon Savin) [1381]
- Wee Teck Gan; Nadya Gurevich
- pdf
- Year: 2006
- Pages: 28 pp