## Pressley, Andrew

Compute Distance To:
 Author ID: pressley.andrew Published as: Pressley, Andrew
 Documents Indexed: 43 Publications since 1980, including 8 Books 1 Contribution as Editor Co-Authors: 3 Co-Authors with 40 Joint Publications 80 Co-Co-Authors
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### Co-Authors

 4 single-authored 35 Chari, Vyjayanthi 5 Segal, Graeme B. 2 Wilson, George 1 Beck, Jonathan 1 Radul, A. O. 1 Zelevinskiĭ, Andreĭ V.
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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 2,179 times in 1,738 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
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
2010
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
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. Zbl 0959.53001
Pressley, Andrew
2001
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
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
1996
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
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
1985
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
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 1,696 Authors

 45 Chari, Vyjayanthi 20 Jing, Naihuan 19 Bai, Chengming 18 Terwilliger, Paul M. 17 Mickelsson, Jouko 16 Ballesteros, Angel 16 Molev, Alexander I. 16 Mudrov, Andrey I. 16 Pressley, Andrew 15 Eswara Rao, Senapathi 14 Carey, Alan L. 14 Hernandez, David 14 Oh, Se-jin 13 Herranz, Francisco José 13 Kashiwara, Masaki 12 Etingof, Pavel Il’ich 12 Feĭgin, Boris L’vovich 12 Greenstein, Jacob 12 Neeb, Karl-Hermann 12 Razumov, Alexander V. 12 Scrimshaw, Travis 12 Xu, Feng 11 Futorny, Vyacheslav M. 11 Gainutdinov, Azat M. 11 Ito, Tatsuro 11 Moura, Adriano A. 10 Dorfmeister, Josef F. 10 Guay, Nicolas 9 Fourier, Ghislain 9 Frenkel, Edward V. 9 Gavarini, Fabio 9 Kulish, Petr Petrovich 9 Mukhin, Evgeny 9 Schilling, Anne 9 Tingley, Peter W. 8 Baseilhac, Pascal 8 Feigin, Evgeny 8 Fioresi, Rita 8 Helminck, Gerardus Franciscus 8 Kim, Myungho 8 Liu, Ming 7 Benkart, Georgia M. 7 Brander, David 7 Frenkel, Igor B. 7 Geer, Nathan 7 Kapranov, Mikhail M. 7 Murray, Michael K. 7 Naoi, Katsuyuki 7 Ni, Xiang 7 Patureau-Mirand, Bertrand 7 Ragoucy, Eric 7 Runkel, Ingo 7 Sergeev, Armen Glebovich 7 Sheng, Yunhe 7 Varchenko, Alexander Nikolaevich 7 Vasserot, Eric 6 Andruchow, Esteban 6 Borowiec, Andrzej Zdzisław 6 Daszkiewicz, Marcin 6 Freed, Daniel Stuart 6 Guo, Li 6 Gurevich, Dmitrii 6 Hannabuss, Keith C. 6 Hu, Jun 6 Isaev, Alekseĭ Petrovich 6 Kac, Victor G. 6 Kamnitzer, Joel 6 Kang, Seok-Jin 6 Koelink, Erik 6 Kus, Deniz 6 MacKay, Niall J. 6 Miki, Kei 6 Pickrell, Doug 6 Regelskis, Vidas 6 Reshetikhin, Nikolai Yu. 6 Savage, Alistair 6 Stukopin, Vladimir Alekseevich 6 Tan, Shao Bin 6 Toledano Laredo, Valerio 6 Wang, Bailing 6 Wood, John C. 6 Yang, Wenli 6 Young, Charles A. S. 5 Atzberger, Paul J. 5 Bergvelt, Maarten J. 5 Bianchi, Angelo Calil 5 Biswal, Rekha 5 Brito, Matheus 5 Cao, Junpeng 5 Chamberlin, Samuel 5 Doikou, Anastasia 5 Felder, Giovanni 5 Ghosh, Pinaki Ranjan 5 Glöckner, Helge 5 Iritani, Hiroshi 5 Khoroshkin, Sergey M. 5 Kodera, Ryosuke 5 Kumar, Shrawan 5 Lam, Thomas F. 5 Li, Jian Rong ...and 1,596 more Authors
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### Cited in 232 Serials

 164 Communications in Mathematical Physics 146 Journal of Algebra 81 Advances in Mathematics 80 Journal of Geometry and Physics 74 Nuclear Physics. B 67 Letters in Mathematical Physics 65 Journal of Mathematical Physics 37 Communications in Algebra 37 Journal of Functional Analysis 34 Theoretical and Mathematical Physics 34 Algebras and Representation Theory 33 Transactions of the American Mathematical Society 32 Journal of Pure and Applied Algebra 31 Mathematische Zeitschrift 30 Journal of High Energy Physics 28 Selecta Mathematica. New Series 25 Representation Theory 23 Duke Mathematical Journal 20 Physics Letters. B 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18 Transformation Groups 17 Reports on Mathematical Physics 16 Journal of Mathematical Sciences (New York) 14 Acta Applicandae Mathematicae 13 Inventiones Mathematicae 13 Mathematische Annalen 13 Proceedings of the American Mathematical Society 12 Reviews in Mathematical Physics 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 Israel Journal of Mathematics 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 Journal of Computational Physics 7 Compositio Mathematica 7 Journal of Combinatorial Theory. Series A 7 Advances in Applied Mathematics 7 Annals of Global Analysis and Geometry 7 Bulletin of the American Mathematical Society. New Series 7 Annales Henri Poincaré 7 Journal of Algebra and its Applications 6 Journal für die Reine und Angewandte Mathematik 6 Journal of Lie Theory 6 Communications in Contemporary Mathematics 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 Algebraic & Geometric Topology 5 Frontiers of Mathematics in China 4 Classical and Quantum Gravity 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 International Journal of Mathematics 4 Journal of Knot Theory and its Ramifications 4 Nuclear Physics. B. Proceedings Supplements 4 The Ramanujan Journal 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematical Physics 4 Science China. Mathematics 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 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 Expositiones Mathematicae 3 The Electronic Journal of Combinatorics 3 Bulletin des Sciences Mathématiques 3 Journal of the European Mathematical Society (JEMS) 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 Combinatorial Algebra ...and 132 more Serials
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### Cited in 60 Fields

 913 Nonassociative rings and algebras (17-XX) 601 Quantum theory (81-XX) 295 Associative rings and algebras (16-XX) 226 Differential geometry (53-XX) 209 Topological groups, Lie groups (22-XX) 198 Global analysis, analysis on manifolds (58-XX) 173 Group theory and generalizations (20-XX) 147 Algebraic geometry (14-XX) 114 Dynamical systems and ergodic theory (37-XX) 111 Functional analysis (46-XX) 96 Combinatorics (05-XX) 83 Partial differential equations (35-XX) 82 Statistical mechanics, structure of matter (82-XX) 80 Category theory; homological algebra (18-XX) 80 Manifolds and cell complexes (57-XX) 72 Relativity and gravitational theory (83-XX) 50 Algebraic topology (55-XX) 48 Several complex variables and analytic spaces (32-XX) 43 Special functions (33-XX) 42 Operator theory (47-XX) 31 Commutative algebra (13-XX) 30 $$K$$-theory (19-XX) 26 Functions of a complex variable (30-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 22 Mechanics of particles and systems (70-XX) 20 Number theory (11-XX) 15 Probability theory and stochastic processes (60-XX) 15 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 13 Abstract harmonic analysis (43-XX) 12 Fluid mechanics (76-XX) 9 Convex and discrete geometry (52-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Difference and functional equations (39-XX) 6 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Geometry (51-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Statistics (62-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 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)