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Pressley, Andrew

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 Author ID: pressley.andrew Published as: Pressley, Andrew
 Documents Indexed: 44 Publications since 1980, including 9 Books

Co-Authors

 5 single-authored 35 Chari, Vyjayanthi 4 Segal, Graeme B. 1 Beck, Jonathan
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Serials

 4 Communications in Mathematical Physics 4 Letters in Mathematical Physics 3 Journal of Algebra 2 Mathematische Annalen 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Representation Theory 2 Springer Undergraduate Mathematics Series 2 Oxford Mathematical Monographs 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Topology 1 Acta Applicandae Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Nuclear Physics, B, Proceedings Supplements 1 London Mathematical Society Lecture Note Series
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Fields

 40 Nonassociative rings and algebras (17-XX) 15 Quantum theory (81-XX) 9 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX)

Citations contained in zbMATH Open

37 Publications have been cited 2,067 times in 1,649 Documents Cited by Year
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
1994
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
1986
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
1995
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
1991
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
2001
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
1988
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
1995
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
1986
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
1999
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
1996
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
1998
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
1991
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
1997
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
1995
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
2010
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
1996
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
1988
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
1990
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
1996
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
1987
Elementary differential geometry. Zbl 0959.53001
Pressley, Andrew
2001
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
1988
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
1996
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
1994
Integrable and Weyl modules for quantum affine $$\operatorname {sl}_2$$. Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
2001
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
1997
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
1996
Decompositions of the space of loops on a Lie group. Zbl 0434.58013
Pressley, Andrew
1980
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
1991
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
1989
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
1992
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
1993
Unitary representations of the maps $$S^1\to\mathfrak{su}(N,1)$$. Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
1987
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1990
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
1997
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1990
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
2010
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
2001
Elementary differential geometry. Zbl 0959.53001
Pressley, Andrew
2001
Integrable and Weyl modules for quantum affine $$\operatorname {sl}_2$$. Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
2001
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
1999
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
1998
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
1997
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
1997
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
1997
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
1996
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
1996
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
1996
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
1996
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
1996
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
1995
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
1995
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
1995
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
1994
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
1994
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
1993
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
1992
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
1991
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
1991
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
1991
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
1990
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1990
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1990
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
1989
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
1988
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
1988
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
1988
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
1987
Unitary representations of the maps $$S^1\to\mathfrak{su}(N,1)$$. Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
1987
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
1986
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
1986
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
Decompositions of the space of loops on a Lie group. Zbl 0434.58013
Pressley, Andrew
1980
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Cited by 1,627 Authors

 45 Chari, Vyjayanthi 19 Jing, Naihuan 18 Bai, Chengming 17 Mickelsson, Jouko 17 Terwilliger, Paul M. 16 Molev, Alexander I. 16 Pressley, Andrew 15 Mudrov, Andrey I. 14 Carey, Alan L. 14 Eswara Rao, Senapathi 14 Hernandez, David 13 Ballesteros, Angel 13 Helminck, Gerardus Franciscus 12 Etingof, Pavel Il’ich 12 Feĭgin, Boris L’vovich 12 Greenstein, Jacob 12 Neeb, Karl-Hermann 12 Oh, Se-jin 12 Xu, Feng 11 Futorny, Vyacheslav M. 11 Ito, Tatsuro 11 Kashiwara, Masaki 11 Moura, Adriano A. 11 Scrimshaw, Travis 10 Dorfmeister, Josef F. 10 Gainutdinov, Azat M. 10 Guay, Nicolas 10 Herranz, Francisco José 10 Razumov, Alexander V. 9 Fourier, Ghislain 9 Frenkel, Edward V. 9 Kulish, Petr Petrovich 9 Mukhin, Evgeny 9 Schilling, Anne 9 Tingley, Peter W. 8 Fioresi, Rita 8 Gavarini, Fabio 8 Liu, Ming 7 Feigin, Evgeny 7 Kapranov, Mikhail M. 7 Murray, Michael K. 7 Naoi, Katsuyuki 7 Ni, Xiang 7 Ragoucy, Eric 7 Sergeev, Armen Glebovich 7 Varchenko, Alexander Nikolaevich 7 Vasserot, Eric 6 Andruchow, Esteban 6 Benkart, Georgia M. 6 Borowiec, Andrzej Zdzisław 6 Brander, David 6 Daszkiewicz, Marcin 6 Freed, Daniel Stuart 6 Frenkel, Igor B. 6 Geer, Nathan 6 Guo, Li 6 Gurevich, Dmitrii 6 Hannabuss, Keith C. 6 Kac, Victor G. 6 Kang, Seok-Jin 6 Kim, Myungho 6 Koelink, Erik 6 Kus, Deniz 6 MacKay, Niall J. 6 Miki, Kei 6 Patureau-Mirand, Bertrand 6 Pickrell, Doug 6 Regelskis, Vidas 6 Reshetikhin, Nikolai Yu. 6 Runkel, Ingo 6 Savage, Alistair 6 Stukopin, Vladimir Alekseevich 6 Tan, Shao Bin 6 Toledano Laredo, Valerio 6 Wang, Bailing 6 Yang, Wenli 6 Young, Charles A. S. 5 Baseilhac, Pascal 5 Bergvelt, Maarten J. 5 Cao, Junpeng 5 Doikou, Anastasia 5 Felder, Giovanni 5 Glöckner, Helge 5 Hu, Jun 5 Iritani, Hiroshi 5 Kamnitzer, Joel 5 Khoroshkin, Sergey M. 5 Kumar, Shrawan 5 Lam, Thomas F. 5 Li, Jian Rong 5 Loktev, Sergey A. 5 Lukierski, Jerzy 5 Manning, Nathan 5 Manojlović, Nenad 5 Meusburger, Catherine 5 Neshveyev, Sergey V. 5 Nirov, Khazret S. 5 Rajeev, Sarada G. 5 Ram, Arun 5 Saponov, Pavel A. ...and 1,527 more Authors
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Cited in 218 Serials

 159 Communications in Mathematical Physics 139 Journal of Algebra 77 Journal of Geometry and Physics 76 Advances in Mathematics 69 Nuclear Physics. B 65 Journal of Mathematical Physics 65 Letters in Mathematical Physics 37 Journal of Functional Analysis 35 Communications in Algebra 33 Transactions of the American Mathematical Society 32 Theoretical and Mathematical Physics 32 Algebras and Representation Theory 30 Journal of Pure and Applied Algebra 28 Mathematische Zeitschrift 28 Journal of High Energy Physics 27 Selecta Mathematica. New Series 23 Duke Mathematical Journal 23 Representation Theory 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 18 Transformation Groups 17 Physics Letters. B 17 Journal of Mathematical Sciences (New York) 16 Reports on Mathematical Physics 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14 Acta Applicandae Mathematicae 13 Inventiones Mathematicae 13 Mathematische Annalen 12 Reviews in Mathematical Physics 12 Proceedings of the American Mathematical Society 12 Journal of the American Mathematical Society 12 Linear Algebra and its Applications 10 Annales de l’Institut Fourier 10 Journal of Algebraic Combinatorics 9 Modern Physics Letters A 9 Memoirs of the American Mathematical Society 8 Physics Letters. A 8 Functional Analysis and its Applications 8 Differential Geometry and its Applications 8 Journal of Nonlinear Mathematical Physics 7 International Journal of Modern Physics A 7 Israel Journal of Mathematics 7 Journal of Combinatorial Theory. Series A 7 Advances in Applied Mathematics 7 Annals of Global Analysis and Geometry 7 Annales Henri Poincaré 6 Compositio Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Noncommutative Geometry 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Publications Mathématiques 5 Proceedings of the London Mathematical Society. Third Series 5 Annals of Physics 5 Indagationes Mathematicae. New Series 5 Advances in Applied Clifford Algebras 5 Geometry & Topology 5 Communications in Contemporary Mathematics 5 Algebraic & Geometric Topology 5 Journal of Algebra and its Applications 5 Frontiers of Mathematics in China 4 General Relativity and Gravitation 4 Indian Journal of Pure & Applied Mathematics 4 International Journal of Theoretical Physics 4 Glasgow Mathematical Journal 4 Manuscripta Mathematica 4 Nuclear Physics, B, Proceedings Supplements 4 Journal of Lie Theory 4 The Ramanujan Journal 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Science China. Mathematics 3 Applicable Analysis 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Acta Mathematica 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Differential Equations 3 Journal of the Mathematical Society of Japan 3 Monatshefte für Mathematik 3 Osaka Journal of Mathematics 3 Tohoku Mathematical Journal. Second Series 3 Topology and its Applications 3 European Journal of Combinatorics 3 Science in China. Series A 3 International Journal of Mathematics 3 Expositiones Mathematicae 3 Journal of Knot Theory and its Ramifications 3 Bulletin des Sciences Mathématiques 3 Acta Mathematica Sinica. English Series 3 Czechoslovak Journal of Physics 3 International Journal of Geometric Methods in Modern Physics 3 Proceedings of the Steklov Institute of Mathematics 3 Advances in Mathematical Physics 3 Journal of Combinatorial Algebra 2 Classical and Quantum Gravity 2 Computer Methods in Applied Mechanics and Engineering 2 Russian Mathematical Surveys 2 Applied Mathematics and Computation ...and 118 more Serials
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Cited in 60 Fields

 866 Nonassociative rings and algebras (17-XX) 576 Quantum theory (81-XX) 276 Associative rings and algebras (16-XX) 210 Differential geometry (53-XX) 199 Topological groups, Lie groups (22-XX) 195 Global analysis, analysis on manifolds (58-XX) 163 Group theory and generalizations (20-XX) 141 Algebraic geometry (14-XX) 113 Dynamical systems and ergodic theory (37-XX) 109 Functional analysis (46-XX) 90 Combinatorics (05-XX) 80 Statistical mechanics, structure of matter (82-XX) 79 Partial differential equations (35-XX) 73 Category theory; homological algebra (18-XX) 73 Manifolds and cell complexes (57-XX) 63 Relativity and gravitational theory (83-XX) 48 Algebraic topology (55-XX) 46 Several complex variables and analytic spaces (32-XX) 42 Special functions (33-XX) 40 Operator theory (47-XX) 29 Commutative algebra (13-XX) 29 $$K$$-theory (19-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Functions of a complex variable (30-XX) 21 Mechanics of particles and systems (70-XX) 18 Number theory (11-XX) 14 Ordinary differential equations (34-XX) 14 Probability theory and stochastic processes (60-XX) 13 Abstract harmonic analysis (43-XX) 13 Numerical analysis (65-XX) 9 Convex and discrete geometry (52-XX) 8 Fluid mechanics (76-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Difference and functional equations (39-XX) 6 Computer science (68-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)