# zbMATH — the first resource for mathematics

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 Documents Indexed: 43 Publications since 1983, including 5 Books
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#### Co-Authors

 18 single-authored 9 Vogan, David Alexander jun. 4 Barbasch, Dan M. 3 Trapa, Peter E. 2 He, Xuhua 2 Herb, Rebecca A. 2 Huang, Jing-Song 2 Johnson, Joseph Francis 1 du Cloux, Fokko 1 Kudla, Stephen S. 1 Li, Jian-Shu 1 Lian, Bong H. 1 Lipsman, Ronald L. 1 Moy, Allen 1 Nie, Sian 1 Paul, Annegret 1 Prasad, Dipendra 1 Rosenberg, Jonathan Micah 1 Sahi, Siddhartha 1 Saunders, B. David 1 Savin, Gordan 1 Taïbi, Olivier 1 van Leeuwen, Marc A. A. 1 Wan, Zhendong
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#### Serials

 4 Compositio Mathematica 3 Advances in Mathematics 3 American Journal of Mathematics 3 Duke Mathematical Journal 2 Representation Theory 2 Journal of the Institute of Mathematics of Jussieu 2 Contemporary Mathematics 1 Israel Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Astérisque 1 Progress in Mathematics 1 IAS/Park City Mathematics Series
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#### Fields

 39 Topological groups, Lie groups (22-XX) 16 Number theory (11-XX) 10 Group theory and generalizations (20-XX) 5 Nonassociative rings and algebras (17-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 313 times in 215 Documents Cited by Year
The Langlands classification and irreducible characters for real reductive groups. Zbl 0756.22004
Adams, Jeffrey; Barbasch, Dan; Vogan, David A. jun.
1992
Reductive dual pair correspondence for complex groups. Zbl 0841.22014
1995
Genuine representations of the metaplectic group. Zbl 0913.11022
1998
Endoscopic groups and packets of non-tempered representations. Zbl 0647.22008
1987
$$L$$-groups, projective representations, and the Langlands classification. Zbl 0760.22013
Adams, Jeffrey; Vogan, David A. jun.
1992
Discrete spectrum of the reductive dual pair $$(\mathrm{O}(p,q),\mathrm{Sp}(2m))$$. Zbl 0561.22011
1983
Functions on the model orbit in $$E_{8}$$. Zbl 0909.22027
Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun.
1998
Unitary highest weight modules. Zbl 0623.22014
1987
Algorithms for representation theory of real reductive groups. Zbl 1221.22017
2009
Lifting of characters on orthogonal and metaplectic groups. Zbl 0983.11025
1998
Unitary Shimura correspondences for split real groups. Zbl 1114.22009
Adams, Jeffrey; Barbasch, Dan M.; Paul, Annegret; Trapa, Peter E.; Vogan, David A. jun.
2007
$$L$$-functoriality for dual pairs. Zbl 0715.22016
1989
Nonlinear covers of real groups. Zbl 1066.22012
2004
Theta-10. Zbl 1060.22014
2004
Contragredient representations and characterizing the local Langlands correspondence. Zbl 1354.11039
Adams, Jeffrey; Vogan, David A. jun.
2016
Unipotent representations and reductive dual pairs over finite fields. Zbl 0829.22025
1993
Lifting of elements of Weyl groups. Zbl 1395.20024
2017
The real Chevalley involution. Zbl 1309.22013
2014
Extensions of tori in SL(2). Zbl 1054.11027
2001
Characters of covering groups of $$SL(n)$$. Zbl 1034.22014
2003
Duality for nonlinear simply laced groups. Zbl 1276.22004
2012
Coadjoint orbits and reductive dual pairs. Zbl 0623.22015
1987
Unitary representations of real reductive groups. Zbl 1460.22005
Adams, Jeffrey D.; van Leeuwen, Marc A. A.; Trapa, Peter E.; Vogan, David A. jun.
2020
The theta correspondence over $$\mathbb R$$. Zbl 1390.22012
2007
Computing global characters. Zbl 1241.22011
2011
Lifting of characters for nonlinear simply laced groups. Zbl 1235.22020
2010
Harish-Chandra’s method of descent. Zbl 0808.22001
Adams, Jeffrey; Vogan, David A. jun.
1992
Character of the oscillator representation. Zbl 0974.22506
1997
Kazhdan-Patterson lifting for $$GL(n,\mathbb{R})$$. Zbl 0883.22017
1997
Guide to the Atlas software: computational representation theory of real reductive groups. Zbl 1175.22001
2008
Genuine representations of the metaplectic group and epsilon factors. Zbl 0857.11023
1995
Parameters for twisted representations. Zbl 1342.22021
Adams, Jeffrey; Vogan, David A jun.
2015
Galois and Cartan cohomology of real groups. Zbl 1410.11036
2018
Nilpotent cohomology of the oscillator representation. Zbl 0787.17019
1994
Characters of nonlinear groups. Zbl 0960.22016
2000
Signature of symmetric rational matrices and the unitary dual of Lie groups. Zbl 1360.65116
Adams, Jeffrey; Saunders, B. David; Wan, Zhendong
2005
Endoscopic groups and stable packets of certain derived functor modules. Zbl 0653.22011
1986
Unitary representations of real reductive groups. Zbl 1460.22005
Adams, Jeffrey D.; van Leeuwen, Marc A. A.; Trapa, Peter E.; Vogan, David A. jun.
2020
Galois and Cartan cohomology of real groups. Zbl 1410.11036
2018
Lifting of elements of Weyl groups. Zbl 1395.20024
2017
Contragredient representations and characterizing the local Langlands correspondence. Zbl 1354.11039
Adams, Jeffrey; Vogan, David A. jun.
2016
Parameters for twisted representations. Zbl 1342.22021
Adams, Jeffrey; Vogan, David A jun.
2015
The real Chevalley involution. Zbl 1309.22013
2014
Duality for nonlinear simply laced groups. Zbl 1276.22004
2012
Computing global characters. Zbl 1241.22011
2011
Lifting of characters for nonlinear simply laced groups. Zbl 1235.22020
2010
Algorithms for representation theory of real reductive groups. Zbl 1221.22017
2009
Guide to the Atlas software: computational representation theory of real reductive groups. Zbl 1175.22001
2008
Unitary Shimura correspondences for split real groups. Zbl 1114.22009
Adams, Jeffrey; Barbasch, Dan M.; Paul, Annegret; Trapa, Peter E.; Vogan, David A. jun.
2007
The theta correspondence over $$\mathbb R$$. Zbl 1390.22012
2007
Signature of symmetric rational matrices and the unitary dual of Lie groups. Zbl 1360.65116
Adams, Jeffrey; Saunders, B. David; Wan, Zhendong
2005
Nonlinear covers of real groups. Zbl 1066.22012
2004
Theta-10. Zbl 1060.22014
2004
Characters of covering groups of $$SL(n)$$. Zbl 1034.22014
2003
Extensions of tori in SL(2). Zbl 1054.11027
2001
Characters of nonlinear groups. Zbl 0960.22016
2000
Genuine representations of the metaplectic group. Zbl 0913.11022
1998
Functions on the model orbit in $$E_{8}$$. Zbl 0909.22027
Adams, Jeffrey; Huang, Jing-Song; Vogan, David A. jun.
1998
Lifting of characters on orthogonal and metaplectic groups. Zbl 0983.11025
1998
Character of the oscillator representation. Zbl 0974.22506
1997
Kazhdan-Patterson lifting for $$GL(n,\mathbb{R})$$. Zbl 0883.22017
1997
Reductive dual pair correspondence for complex groups. Zbl 0841.22014
1995
Genuine representations of the metaplectic group and epsilon factors. Zbl 0857.11023
1995
Nilpotent cohomology of the oscillator representation. Zbl 0787.17019
1994
Unipotent representations and reductive dual pairs over finite fields. Zbl 0829.22025
1993
The Langlands classification and irreducible characters for real reductive groups. Zbl 0756.22004
Adams, Jeffrey; Barbasch, Dan; Vogan, David A. jun.
1992
$$L$$-groups, projective representations, and the Langlands classification. Zbl 0760.22013
Adams, Jeffrey; Vogan, David A. jun.
1992
Harish-Chandra’s method of descent. Zbl 0808.22001
Adams, Jeffrey; Vogan, David A. jun.
1992
$$L$$-functoriality for dual pairs. Zbl 0715.22016
1989
Endoscopic groups and packets of non-tempered representations. Zbl 0647.22008
1987
Unitary highest weight modules. Zbl 0623.22014
1987
Coadjoint orbits and reductive dual pairs. Zbl 0623.22015
1987
Endoscopic groups and stable packets of certain derived functor modules. Zbl 0653.22011
1986
Discrete spectrum of the reductive dual pair $$(\mathrm{O}(p,q),\mathrm{Sp}(2m))$$. Zbl 0561.22011
1983
all top 5

#### Cited by 218 Authors

 13 Adams, Jeffrey David 8 Moeglin, Colette 7 Gan, Wee Teck 7 Paul, Annegret 7 Trapa, Peter E. 6 Barbasch, Dan M. 6 Li, Jian-Shu 6 Renard, David A. 6 Savin, Gordan 4 Ichino, Atsushi 4 Kaletha, Tasho 4 Li, Wen-Wei 4 Takeda, Shuichiro 3 Barchini, Leticia 3 Huang, Jing-Song 3 Johnson, Joseph Francis 3 Liu, Dongwen 3 Loke, Hung Yean 3 Pan, Shu-Yen 3 Prasad, Dipendra 3 Sun, Binyong 3 Taïbi, Olivier 3 Tsai, Wan-Yu 3 Wang, Zhi Cheng 3 Wong, Kayue Daniel 3 Zhang, Mingjing 3 Zhu, Chen-Bo 2 Adrian, Moshe 2 Atobe, Hiraku 2 Bao, Yixin 2 Bravi, Paolo 2 Chenevier, Gaëtan 2 Clozel, Laurent 2 de Graaf, Willem Adriaan 2 Dietrich, Heiko 2 Evens, Sam 2 Furusawa, Masaaki 2 García-Prada, Oscar 2 Harris, Benjamin 2 He, Hongyu 2 Hou, Zixin 2 Kobayashi, Toshiyuki 2 Lu, Jiang-Hua 2 Luna, Dominique 2 Morimoto, Kazuki 2 Pandžić, Pavle 2 Przebinda, Tomasz 2 Salamanca-Riba, Susana A. 2 Schwermer, Joachim 2 Shelstad, Diana 2 Tang, Shiang 2 Vogan, David Alexander jun. 2 Wyser, Benjamin Joe 2 Yamana, Shunsuke 2 Yee, Wai Ling 2 Zhao, Qiang 1 Aizenbud, Avraham 1 Alkalaev, K. B. 1 Andler, Martin 1 Arancibia, Nicolás 1 Arthur, James Greig 1 Aubert, Anne-Marie 1 Balleier, Carsten 1 Baluyot, Siegfred Alan C. 1 Beilinson, Alexander A. 1 Ben-Zvi, David 1 Bergeron, Nicolas 1 Bezrukavnikov, Roman 1 Biswas, Indranil 1 Carnovale, Giovanna 1 Choiy, Kwangho 1 Cogdell, James W. 1 Cooper, Daryl 1 Corbineau, Pierre 1 Costantini, Mauro 1 Crofts, B. Scott 1 Delgadino, Matias Gonzalo 1 Devlin, Stephen 1 Dimassi, Mouez 1 Dong, Chao-Ping 1 Drinfeld, Vladimir Gershonovich 1 du Cloux, Fokko 1 Enright, Thomas J. 1 Epequin Chavez, Jesua 1 Faccin, Paolo 1 Fan, Xiang 1 Finkelberg, Michael Vladlenovich 1 Foth, Philip A. 1 Funke, Jens 1 Gandini, Jacopo 1 Gao, Fan 1 Gerasimov, Anton A. 1 Ginzburg, Victor 1 Goldberg, David 1 Goldring, Wushi 1 Gonek, Steven M. 1 Goresky, Robert Mark 1 Gourevitch, Dmitry 1 Grigor’ev, M. A. 1 Guidoboni, Giovanna ...and 118 more Authors
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#### Cited in 62 Serials

 19 Transactions of the American Mathematical Society 18 Duke Mathematical Journal 13 Journal of Functional Analysis 11 Inventiones Mathematicae 11 Journal of Algebra 11 Representation Theory 9 Mathematische Zeitschrift 8 Compositio Mathematica 7 Advances in Mathematics 6 Journal of Number Theory 6 Mathematische Annalen 5 Israel Journal of Mathematics 5 Journal of Lie Theory 4 Pacific Journal of Mathematics 4 Journal of the Institute of Mathematics of Jussieu 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 2 Letters in Mathematical Physics 2 Publications Mathématiques 2 International Journal of Mathematics 2 Selecta Mathematica. New Series 2 The Ramanujan Journal 2 Journal of High Energy Physics 2 Algebra & Number Theory 2 Tunisian Journal of Mathematics 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Journal of Symbolic Computation 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Geometry & Topology 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 Algebraic & Geometric Topology 1 International Journal of Number Theory 1 Communications in Applied Mathematics and Computational Science 1 Frontiers of Mathematics in China 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 Kyoto Journal of Mathematics
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#### Cited in 33 Fields

 158 Topological groups, Lie groups (22-XX) 80 Number theory (11-XX) 40 Group theory and generalizations (20-XX) 23 Algebraic geometry (14-XX) 22 Nonassociative rings and algebras (17-XX) 13 Differential geometry (53-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Abstract harmonic analysis (43-XX) 7 Combinatorics (05-XX) 7 Quantum theory (81-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

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