# zbMATH — the first resource for mathematics

## Pressley, Andrew

Compute Distance To:
 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

37 Publications have been cited 2,078 times in 1,656 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
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
1995
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
1988
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
Elementary differential geometry. Zbl 0959.53001
Pressley, Andrew
2001
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
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
1990
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
1996
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
2010
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
1996
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
1988
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
1987
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
1996
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
1988
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
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
1992
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
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
1993
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. Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1990
Unitary representations of the maps $$S^1\to\mathfrak{su}(N,1)$$. Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
1987
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. 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 1,700 Authors

 44 Chari, Vyjayanthi 19 Bai, Chengming 18 Jing, Naihuan 17 Mickelsson, Jouko 17 Terwilliger, Paul M. 16 Hernandez, David 16 Pressley, Andrew 15 Carey, Alan L. 15 Molev, Alexander I. 14 Mudrov, Andrey I. 13 Eswara Rao, Senapathi 13 Xu, Feng 12 Ballesteros, Angel 12 Etingof, Pavel Il’ich 12 Feĭgin, Boris L’vovich 12 Greenstein, Jacob 12 Helminck, Gerardus Franciscus 12 Neeb, Karl-Hermann 11 Dorfmeister, Josef F. 11 Futorny, Vyacheslav M. 11 Ito, Tatsuro 11 Kashiwara, Masaki 11 Moura, Adriano A. 11 Oh, Se-jin 11 Scrimshaw, Travis 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 Murray, Michael K. 8 Nirov, Khazret S. 8 Ragoucy, Eric 8 Schroers, Bernd J. 7 Brander, David 7 Daszkiewicz, Marcin 7 Frenkel, Igor B. 7 Gurevich, Dmitrii 7 Liu, Ming 7 Meusburger, Catherine 7 Ni, Xiang 7 Pickrell, Doug 7 Sergeev, Armen Glebovich 7 Varchenko, Alexander Nikolaevich 7 Vasserot, Eric 6 Andruchow, Esteban 6 Benkart, Georgia M. 6 Borowiec, Andrzej Zdzisław 6 Freed, Daniel Stuart 6 Hannabuss, Keith C. 6 Kang, Seok-Jin 6 Kapranov, Mikhail M. 6 Khoroshkin, Sergey M. 6 Kim, Myungho 6 Koelink, Erik 6 MacKay, Niall J. 6 Miki, Kei 6 Naoi, Katsuyuki 6 Regelskis, Vidas 6 Reshetikhin, Nikolai Yu. 6 Runkel, Ingo 6 Saponov, Pavel A. 6 Savage, Alistair 6 Stukopin, Vladimir Alekseevich 6 Toledano Laredo, Valerio 6 Wang, Bailing 6 Yang, Wenli 6 Young, Charles A. S. 5 Baseilhac, Pascal 5 Bennett, Matthew R. 5 Bergvelt, Maarten J. 5 Cao, Junpeng 5 Doikou, Anastasia 5 Feigin, Evgeny 5 Geer, Nathan 5 Glazebrook, James F. 5 Glöckner, Helge 5 Göhmann, Frank 5 Guo, Li 5 Hu, Jun 5 Iritani, Hiroshi 5 Kac, Victor G. 5 Kamnitzer, Joel 5 Kříž, Igor 5 Kumar, Shrawan 5 Kus, Deniz 5 Li, Jian Rong 5 Loktev, Sergey A. 5 Lukierski, Jerzy 5 Manning, Nathan 5 Manojlović, Nenad 5 Neshveyev, Sergey V. 5 Patureau-Mirand, Bertrand ...and 1,600 more Authors
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#### Cited in 214 Serials

 155 Communications in Mathematical Physics 137 Journal of Algebra 92 Journal of Geometry and Physics 80 Advances in Mathematics 77 Nuclear Physics. B 66 Journal of Mathematical Physics 60 Letters in Mathematical Physics 44 Journal of Functional Analysis 35 Communications in Algebra 33 Transactions of the American Mathematical Society 31 Algebras and Representation Theory 30 Theoretical and Mathematical Physics 29 Journal of High Energy Physics 27 Mathematische Zeitschrift 26 Journal of Pure and Applied Algebra 26 Selecta Mathematica. New Series 23 Duke Mathematical Journal 21 Reports on Mathematical Physics 21 Representation Theory 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 19 Physics Letters. B 17 Journal of Mathematical Sciences (New York) 16 Transformation Groups 14 Acta Applicandae Mathematicae 13 Inventiones Mathematicae 13 Mathematische Annalen 13 Linear Algebra and its Applications 12 Reviews in Mathematical Physics 12 Proceedings of the American Mathematical Society 12 Journal of the American Mathematical Society 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Annales de l’Institut Fourier 10 Differential Geometry and its Applications 10 Journal of Algebraic Combinatorics 9 Modern Physics Letters A 9 Physics Letters. A 9 Annals of Physics 8 Functional Analysis and its Applications 8 Memoirs of the American Mathematical Society 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 Journal für die Reine und Angewandte Mathematik 6 Bulletin of the American Mathematical Society. New Series 6 Nuclear Physics, B, Proceedings Supplements 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Compositio Mathematica 5 Publications Mathématiques 5 Proceedings of the London Mathematical Society. Third Series 5 Indagationes Mathematicae. New Series 5 Advances in Applied Clifford Algebras 5 Geometry & Topology 5 Algebraic & Geometric Topology 5 Frontiers of Mathematics in China 4 General Relativity and Gravitation 4 International Journal of Theoretical Physics 4 Journal of Computational Physics 4 Glasgow Mathematical Journal 4 Manuscripta Mathematica 4 The Ramanujan Journal 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Algebra and its Applications 4 Science China. Mathematics 3 Applicable Analysis 3 Indian Journal of Pure & Applied Mathematics 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 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 Lie Theory 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 Journal of Noncommutative Geometry 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 2 Geometriae Dedicata 2 Integral Equations and Operator Theory ...and 114 more Serials
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#### Cited in 60 Fields

 839 Nonassociative rings and algebras (17-XX) 587 Quantum theory (81-XX) 263 Associative rings and algebras (16-XX) 218 Differential geometry (53-XX) 207 Topological groups, Lie groups (22-XX) 204 Global analysis, analysis on manifolds (58-XX) 161 Group theory and generalizations (20-XX) 137 Algebraic geometry (14-XX) 122 Dynamical systems and ergodic theory (37-XX) 113 Functional analysis (46-XX) 87 Combinatorics (05-XX) 82 Statistical mechanics, structure of matter (82-XX) 78 Partial differential equations (35-XX) 71 Manifolds and cell complexes (57-XX) 70 Category theory; homological algebra (18-XX) 64 Relativity and gravitational theory (83-XX) 49 Algebraic topology (55-XX) 44 Several complex variables and analytic spaces (32-XX) 41 Special functions (33-XX) 40 Operator theory (47-XX) 28 $$K$$-theory (19-XX) 27 Commutative algebra (13-XX) 26 Mechanics of particles and systems (70-XX) 23 Functions of a complex variable (30-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 18 Number theory (11-XX) 14 Ordinary differential equations (34-XX) 13 Abstract harmonic analysis (43-XX) 13 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 9 Convex and discrete geometry (52-XX) 9 Fluid mechanics (76-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Measure and integration (28-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-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 Systems theory; control (93-XX) 1 Mathematics education (97-XX)