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Zuckerman, Gregg J.

Author ID: zuckerman.gregg-j Recent zbMATH articles by "Zuckerman, Gregg J."
Published as: Zuckerman, Gregg J.; Zuckerman, Gregg; Zuckerman, G. J.; Zuckerman, G.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 48 Publications since 1976
3 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 18 Co-Authors with 40 Joint Publications
533 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 718 times in 560 Documents Cited by Year
Unitary representations with nonzero cohomology. Zbl 0692.22008
Vogan, David A. jun.; Zuckerman, Gregg J.
161
1984
Classification of irreducible tempered representations of semisimple groups. I. Zbl 0516.22011
Knapp, A. W.; Zuckerman, Gregg J.
68
1982
Tensor products of finite and infinite dimensional representations of semisimple Lie groups. Zbl 0384.22004
Zuckerman, Gregg
64
1977
Semi-infinite cohomology and string theory. Zbl 0607.17007
Frenkel, L. B.; Garland, H.; Zuckerman, G. J.
62
1986
New perspectives on the BRST-algebraic structure of string theory. Zbl 0780.17029
Lian, Bong H.; Zuckerman, Gregg J.
61
1993
Commutative quantum operator algebras. Zbl 0838.17029
Lian, Bong H.; Zuckerman, Gregg J.
33
1995
Classification of irreducible tempered representations of semisimple Lie groups. Zbl 0329.22013
Knapp, A. W.; Zuckerman, Gregg
27
1976
Action principles and global geometry. Zbl 0669.58014
Zuckerman, Gregg J.
26
1987
New selection rules and physical states in 2D gravity. Conformal gauge. Zbl 1176.17015
Lian, Bong H.; Zuckerman, Gregg J.
22
1991
Reality properties of conjugacy classes in spin groups and symplectic groups. Zbl 0511.20035
Feit, Walter; Zuckerman, Gregg J.
17
1982
BRST cohomology of the super-Virasoro algebras. Zbl 0693.17014
Lian, Bong H.; Zuckerman, Gregg J.
17
1989
Classification theorems for representations of semisimple Lie groups. Zbl 0353.22011
Knapp, A. W.; Zuckerman, Gregg
14
1977
The outer derivation of a complex Poisson manifold. Zbl 0919.58029
Brylinski, J. L.; Zuckerman, G.
13
1999
On the existence of \(({\mathfrak g},{\mathfrak k})\)-modules of finite type. Zbl 1097.17007
Penkov, Ivan; Serganova, Vera; Zuckerman, Gregg
12
2004
Semi-infinite homology and 2D gravity. I. Zbl 0849.17028
Lian, Bong H.; Zuckerman, Gregg J.
11
1992
BRST cohomology and highest weight vectors. I. Zbl 0719.17015
Lian, Bong H.; Zuckerman, Gregg J.
8
1991
Homotopy Gerstenhaber algebras and topological field theory. Zbl 0881.55016
Kimura, Takashi; Voronov, Alexander A.; Zuckerman, Gregg J.
8
1997
Typesetter’s correction to ”Classification of irreducible tempered representations of semisimple groups”. Zbl 0539.22012
Knapp, A. W.; Zuckerman, Gregg J.
7
1984
2D gravity with \(c=1\) matter. Zbl 1176.81116
Lian, Bong H.; Zuckerman, Gregg J.
7
1991
Generalized Harish-Chandra modules: a new direction in the structure theory of representations. Zbl 1082.17006
Penkov, Ivan; Zuckerman, Gregg
7
2004
Continuous cohomology and unitary representations of real reductive groups. Zbl 0404.20044
Zuckerman, Gregg J.
7
1978
Normalizing factors, tempered representations, and L-groups. Zbl 0414.22017
Knapp, A. W.; Zuckerman, Gregg
7
1979
Moonshine cohomology. Zbl 0910.17013
Lian, Bong H.; Zuckerman, Gregg J.
6
1995
Generalized Harish-Chandra modules with generic minimal \({\mathfrak k}\)-type. Zbl 1079.17004
Penkov, Ivan; Zuckerman, Gregg
6
2004
Some classical and quantum algebras. Zbl 0843.17028
Lian, Bong H.; Zuckerman, Gregg J.
5
1994
Small semisimple subalgebras of semisimple Lie algebras. Zbl 1390.17017
Willenbring, Jeb F.; Zuckerman, Gregg J.
5
2007
Construction of generalized Harish-Chandra modules with arbitrary minimal \(\mathfrak k\)-type. Zbl 1173.17010
Penkov, Ivan; Zuckerman, Gregg
4
2007
On unitarizable highest weight modules of Hermitian pairs. Zbl 0499.17004
Garland, H.; Zuckerman, G. J.
4
1981
Generalized Harish-Chandra modules. Zbl 1250.17014
Zuckerman, Gregg
4
2012
An application of infinite dimensional Lie theory to semisimple Lie groups. Zbl 0822.22013
Lian, Bong H.; Zuckerman, Gregg J.
4
1993
A construction of generalized Harish-Chandra modules for locally reductive Lie algebras. Zbl 1187.17010
Penkov, Ivan; Zuckerman, Gregg
3
2008
Algebraic methods in the theory of generalized Harish-Chandra modules. Zbl 1354.17005
Penkov, Ivan; Zuckerman, Gregg
3
2014
Modular forms, strings, and ghosts. Zbl 0687.17007
Zuckerman, Gregg J.
2
1989
Geometric methods in representation theory. Zbl 0523.22017
Zuckerman, Gregg J.
2
1983
BRST cohomology and noncompact coset models. Zbl 0813.17017
Liang, Bong H.; Zuckerman, Gregg J.
2
1992
Multiplicity one fails for p-adic unitary principal series. Zbl 0452.22017
Knapp, A. W.; Zuckerman, Gregg
2
1980
On categories of admissible \(( \mathfrak{g}, \mathrm{sl}(2))\)-modules. Zbl 1440.17005
Penkov, I.; Serganova, V.; Zuckerman, G.
2
2018
On the structure of the fundamental series of generalized Harish-Chandra modules. Zbl 1281.17011
Penkov, Ivan; Zuckerman, Gregg
2
2012
Quantum physics and semisimple symmetric spaces. Zbl 0554.22005
Zuckerman, Gregg J.
1
1984
Mathematical foundations of consciousness. Zbl 1189.03068
Miranker, Willard L.; Zuckerman, Gregg J.
1
2009
Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. Zbl 1276.00017
1
2013
On categories of admissible \(( \mathfrak{g}, \mathrm{sl}(2))\)-modules. Zbl 1440.17005
Penkov, I.; Serganova, V.; Zuckerman, G.
2
2018
Algebraic methods in the theory of generalized Harish-Chandra modules. Zbl 1354.17005
Penkov, Ivan; Zuckerman, Gregg
3
2014
Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. Zbl 1276.00017
1
2013
Generalized Harish-Chandra modules. Zbl 1250.17014
Zuckerman, Gregg
4
2012
On the structure of the fundamental series of generalized Harish-Chandra modules. Zbl 1281.17011
Penkov, Ivan; Zuckerman, Gregg
2
2012
Mathematical foundations of consciousness. Zbl 1189.03068
Miranker, Willard L.; Zuckerman, Gregg J.
1
2009
A construction of generalized Harish-Chandra modules for locally reductive Lie algebras. Zbl 1187.17010
Penkov, Ivan; Zuckerman, Gregg
3
2008
Small semisimple subalgebras of semisimple Lie algebras. Zbl 1390.17017
Willenbring, Jeb F.; Zuckerman, Gregg J.
5
2007
Construction of generalized Harish-Chandra modules with arbitrary minimal \(\mathfrak k\)-type. Zbl 1173.17010
Penkov, Ivan; Zuckerman, Gregg
4
2007
On the existence of \(({\mathfrak g},{\mathfrak k})\)-modules of finite type. Zbl 1097.17007
Penkov, Ivan; Serganova, Vera; Zuckerman, Gregg
12
2004
Generalized Harish-Chandra modules: a new direction in the structure theory of representations. Zbl 1082.17006
Penkov, Ivan; Zuckerman, Gregg
7
2004
Generalized Harish-Chandra modules with generic minimal \({\mathfrak k}\)-type. Zbl 1079.17004
Penkov, Ivan; Zuckerman, Gregg
6
2004
The outer derivation of a complex Poisson manifold. Zbl 0919.58029
Brylinski, J. L.; Zuckerman, G.
13
1999
Homotopy Gerstenhaber algebras and topological field theory. Zbl 0881.55016
Kimura, Takashi; Voronov, Alexander A.; Zuckerman, Gregg J.
8
1997
Commutative quantum operator algebras. Zbl 0838.17029
Lian, Bong H.; Zuckerman, Gregg J.
33
1995
Moonshine cohomology. Zbl 0910.17013
Lian, Bong H.; Zuckerman, Gregg J.
6
1995
Some classical and quantum algebras. Zbl 0843.17028
Lian, Bong H.; Zuckerman, Gregg J.
5
1994
New perspectives on the BRST-algebraic structure of string theory. Zbl 0780.17029
Lian, Bong H.; Zuckerman, Gregg J.
61
1993
An application of infinite dimensional Lie theory to semisimple Lie groups. Zbl 0822.22013
Lian, Bong H.; Zuckerman, Gregg J.
4
1993
Semi-infinite homology and 2D gravity. I. Zbl 0849.17028
Lian, Bong H.; Zuckerman, Gregg J.
11
1992
BRST cohomology and noncompact coset models. Zbl 0813.17017
Liang, Bong H.; Zuckerman, Gregg J.
2
1992
New selection rules and physical states in 2D gravity. Conformal gauge. Zbl 1176.17015
Lian, Bong H.; Zuckerman, Gregg J.
22
1991
BRST cohomology and highest weight vectors. I. Zbl 0719.17015
Lian, Bong H.; Zuckerman, Gregg J.
8
1991
2D gravity with \(c=1\) matter. Zbl 1176.81116
Lian, Bong H.; Zuckerman, Gregg J.
7
1991
BRST cohomology of the super-Virasoro algebras. Zbl 0693.17014
Lian, Bong H.; Zuckerman, Gregg J.
17
1989
Modular forms, strings, and ghosts. Zbl 0687.17007
Zuckerman, Gregg J.
2
1989
Action principles and global geometry. Zbl 0669.58014
Zuckerman, Gregg J.
26
1987
Semi-infinite cohomology and string theory. Zbl 0607.17007
Frenkel, L. B.; Garland, H.; Zuckerman, G. J.
62
1986
Unitary representations with nonzero cohomology. Zbl 0692.22008
Vogan, David A. jun.; Zuckerman, Gregg J.
161
1984
Typesetter’s correction to ”Classification of irreducible tempered representations of semisimple groups”. Zbl 0539.22012
Knapp, A. W.; Zuckerman, Gregg J.
7
1984
Quantum physics and semisimple symmetric spaces. Zbl 0554.22005
Zuckerman, Gregg J.
1
1984
Geometric methods in representation theory. Zbl 0523.22017
Zuckerman, Gregg J.
2
1983
Classification of irreducible tempered representations of semisimple groups. I. Zbl 0516.22011
Knapp, A. W.; Zuckerman, Gregg J.
68
1982
Reality properties of conjugacy classes in spin groups and symplectic groups. Zbl 0511.20035
Feit, Walter; Zuckerman, Gregg J.
17
1982
On unitarizable highest weight modules of Hermitian pairs. Zbl 0499.17004
Garland, H.; Zuckerman, G. J.
4
1981
Multiplicity one fails for p-adic unitary principal series. Zbl 0452.22017
Knapp, A. W.; Zuckerman, Gregg
2
1980
Normalizing factors, tempered representations, and L-groups. Zbl 0414.22017
Knapp, A. W.; Zuckerman, Gregg
7
1979
Continuous cohomology and unitary representations of real reductive groups. Zbl 0404.20044
Zuckerman, Gregg J.
7
1978
Tensor products of finite and infinite dimensional representations of semisimple Lie groups. Zbl 0384.22004
Zuckerman, Gregg
64
1977
Classification theorems for representations of semisimple Lie groups. Zbl 0353.22011
Knapp, A. W.; Zuckerman, Gregg
14
1977
Classification of irreducible tempered representations of semisimple Lie groups. Zbl 0329.22013
Knapp, A. W.; Zuckerman, Gregg
27
1976
all top 5

Cited by 562 Authors

22 Linshaw, Andrew Ross
13 Schwermer, Joachim
12 Zuckerman, Gregg J.
11 Creutzig, Thomas
11 Lian, Bong H.
10 Speh, Birgit
9 Kobayashi, Toshiyuki
8 Barbasch, Dan M.
8 Dobrev, Vladimir K.
8 Huang, Jing-Song
8 Knapp, Anthony William
8 Moeglin, Colette
8 Sun, Binyong
7 Collingwood, David H.
7 Vogan, David Alexander jun.
6 Bergeron, Nicolas
6 Clozel, Laurent
6 Li, Jian-Shu
6 Pandžić, Pavle
6 Penkov, Ivan B.
6 Trapa, Peter E.
6 Wolf, Joseph Albert
5 Baldoni-Silva, Maria Welleda
5 Gongopadhyay, Krishnendu
5 Herb, Rebecca A.
5 Petukhov, Alexey V.
5 Schmid, Wilfried
5 Zeitlin, Anton M.
4 Barchini, Leticia
4 Delorme, Patrick
4 Frenkel, Igor B.
4 Li, Haisheng
4 Paul, Annegret
4 Rohlfs, Jürgen
4 Salamanca-Riba, Susana A.
4 Shelstad, Diana
4 Shin, Sug Woo
4 Wallach, Nolan Russell
4 Yu, Shilin
3 Adams, Jeffrey David
3 Figueroa-O’Farrill, José Miguel
3 Ginzburg, Victor
3 Grbac, Neven
3 Harris, Benjamin
3 Harrison, Sarah M.
3 He, Hongyu
3 Hecht, Henryk
3 Hochs, Peter
3 Ichino, Atsushi
3 Januszewski, Fabian
3 Kimura, Takashi
3 Kosmann-Schwarzbach, Yvette
3 Labesse, Jean-Pierre
3 Lan, Kai-Wen
3 Matumoto, Hisayosi
3 Mazorchuk, Volodymyr
3 Mezo, Paul
3 Moore, Gregory Winthrop
3 Paquette, Natalie M.
3 Parthasarathy, Rajagopalan
3 Polyakov, Dimitri
3 Scheithauer, Nils R.
3 Serganova, Vera V.
3 Sharapov, Alexey A.
3 Shen, Shu
3 Song, Yanli
3 Stasheff, James D.
3 Suh, Junecue
3 Vinroot, C. Ryan
3 Volpato, Roberto
3 Voronov, Alexander A.
3 Willenbring, Jeb F.
3 Zierau, Roger
2 Afgoustidis, Alexandre
2 Akman, Füsun
2 Al-Ali, Masoumah
2 Anninos, Dionysios
2 Arthur, James Greig
2 Benini, Marco
2 Boe, Brian Douglas
2 Borcherds, Richard Ewen
2 Bouwknegt, Peter G.
2 Ciubotaru, Dan
2 Crâşmăreanu, Mircea
2 de Azcárraga, José A.
2 Deodhar, Vinay V.
2 Diaz-Marin, Homero G.
2 Donley, Robert W. jun.
2 Enright, Thomas J.
2 Evens, Sam
2 Feĭgin, Boris L’vovich
2 Freed, Daniel Stuart
2 Frenkel, Edward V.
2 Gelbart, Stephen S.
2 Goldring, Wushi
2 Gover, Ashwin Rod
2 Grobner, Harald
2 Hamada, Ken-ji
2 Harris, Michael Howard
2 Hikida, Yasuaki
...and 462 more Authors
all top 5

Cited in 116 Serials

41 Communications in Mathematical Physics
28 Journal of Algebra
27 Advances in Mathematics
27 Inventiones Mathematicae
25 Duke Mathematical Journal
23 Journal of Functional Analysis
22 Journal of High Energy Physics
18 Compositio Mathematica
18 Transactions of the American Mathematical Society
15 Nuclear Physics. B
15 Representation Theory
13 Mathematische Annalen
11 Transformation Groups
10 Journal of Mathematical Physics
10 Journal of Geometry and Physics
10 Annales de l’Institut Fourier
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Mathematische Zeitschrift
7 Communications in Algebra
6 Israel Journal of Mathematics
6 Journal of Pure and Applied Algebra
6 Bulletin of the American Mathematical Society. New Series
5 International Journal of Modern Physics A
5 Letters in Mathematical Physics
5 Acta Mathematica
5 Proceedings of the American Mathematical Society
5 Proceedings of the Japan Academy. Series A
4 Theoretical and Mathematical Physics
4 Functional Analysis and its Applications
4 Journal of the Institute of Mathematics of Jussieu
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Reviews in Mathematical Physics
3 Geometriae Dedicata
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 Tôhoku Mathematical Journal. Second Series
3 International Journal of Mathematics
3 Linear Algebra and its Applications
3 Nuclear Physics. B. Proceedings Supplements
3 Journal of Lie Theory
3 Acta Mathematica Sinica. English Series
3 Communications in Contemporary Mathematics
3 Annales Henri Poincaré
3 Journal of Nonlinear Mathematical Physics
3 International Journal of Geometric Methods in Modern Physics
3 Science China. Mathematics
2 Classical and Quantum Gravity
2 General Relativity and Gravitation
2 Physics Letters. B
2 Bulletin de la Société Mathématique de France
2 Journal of Soviet Mathematics
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Acta Applicandae Mathematicae
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Differential Geometry and its Applications
2 Geometric and Functional Analysis. GAFA
2 Applied Categorical Structures
2 Journal of Mathematical Sciences (New York)
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Algebraic & Geometric Topology
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Noncommutative Geometry
2 Journal of Physics A: Mathematical and Theoretical
2 Algebra & Number Theory
2 Japanese Journal of Mathematics. 3rd Series
2 São Paulo Journal of Mathematical Sciences
2 Kyoto Journal of Mathematics
2 Research in the Mathematical Sciences
1 Modern Physics Letters A
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Reports on Mathematical Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Monatshefte für Mathematik
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Journal of the Ramanujan Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Theory and Applications of Categories
1 Documenta Mathematica
...and 16 more Serials
all top 5

Cited in 40 Fields

251 Topological groups, Lie groups (22-XX)
172 Nonassociative rings and algebras (17-XX)
121 Quantum theory (81-XX)
108 Number theory (11-XX)
57 Differential geometry (53-XX)
47 Algebraic geometry (14-XX)
43 Group theory and generalizations (20-XX)
38 Global analysis, analysis on manifolds (58-XX)
32 Relativity and gravitational theory (83-XX)
27 Abstract harmonic analysis (43-XX)
20 Category theory; homological algebra (18-XX)
20 Manifolds and cell complexes (57-XX)
19 Associative rings and algebras (16-XX)
16 Dynamical systems and ergodic theory (37-XX)
15 Several complex variables and analytic spaces (32-XX)
13 Algebraic topology (55-XX)
11 Mechanics of particles and systems (70-XX)
8 Partial differential equations (35-XX)
7 Combinatorics (05-XX)
7 \(K\)-theory (19-XX)
7 Geometry (51-XX)
5 Commutative algebra (13-XX)
5 Functional analysis (46-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Ordinary differential equations (34-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Operator theory (47-XX)
2 Statistics (62-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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