Edit Profile (opens in new tab) Zuckerman, Gregg J. Co-Author Distance Author ID: zuckerman.gregg-j Published as: Zuckerman, Gregg J.; Zuckerman, Gregg; Zuckerman, G. J.; Zuckerman, G. more...less 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 all top 5 Co-Authors 11 single-authored 11 Lian, Bong H. 11 Penkov, Ivan B. 6 Knapp, Anthony William 3 Garland, Howard 2 Huckleberry, Alan Trinler 2 Miranker, Willard Lee 2 Serganova, Vera V. 2 Willenbring, Jeb F. 1 Brylinski, Jean-Luc 1 Feit, Walter 1 Flato, Moshé 1 Frenkel, L. B. 1 Kimura, Takashi 1 Lepowsky, James 1 Reshetikhin, Nikolai Yu. 1 Sally, Paul J. jun. 1 Vogan, David Alexander jun. 1 Voronov, Alexander A. all top 5 Serials 4 Communications in Mathematical Physics 4 Annals of Mathematics. Second Series 2 Physics Letters. B 2 Proceedings of the National Academy of Sciences of the United States of America 2 Transformation Groups 2 The Asian Journal of Mathematics 2 Journal of Applied Logic 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of the Faculty of Science. Section I A 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Contemporary Mathematics 1 Progress in Mathematics 1 São Paulo Journal of Mathematical Sciences all top 5 Fields 29 Nonassociative rings and algebras (17-XX) 21 Topological groups, Lie groups (22-XX) 16 Quantum theory (81-XX) 5 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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