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Quantum Groups in Three-Dimensional Integrability (Theoretical and Mathematical Physics) - Softcover
- VerlagSpringer
- Erscheinungsdatum2023
- ISBN 10 9811932646
- ISBN 13 9789811932649
- EinbandTapa blanda
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten344
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Quantum Groups in Three-Dimensional Integrability
Verlag:
Springer Nature Singapore Sep 2023, 2023
ISBN 10: 9811932646
ISBN 13: 9789811932649
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denoted byUqandAq. The former is a deformation of the universal enveloping algebra of a Kac-Moody Lie algebra, whereas the latter is a deformation of the coordinate ring of a Lie group. Although they are dual to each other in principle, most of the applications so far are based onUq, and the main targets are solvable lattice models in 2-dimensions or quantum field theories in 1+1 dimensions.This book aims to present a unique approach to 3-dimensional integrability based onAq. It starts from the tetrahedron equation, a 3-dimensional analogue of the Yang-Baxter equation, and its solution due to work by Kapranov-Voevodsky (1994).Then, it guides readers to its variety of generalizations, relations to quantum groups, and applications. They include a connection to the Poincaré-Birkhoff-Witt basis of a unipotent part ofUq, reductions to the solutions of the Yang-Baxter equation, reflection equation,G2reflection equation, matrix product constructions of quantum R matrices and reflection K matrices, stationary measures of multi-species simple-exclusion processes, etc.These contents of the book are quite distinct from conventional approaches and will stimulate and enrich the theories of quantum groups and integrable systems. 344 pp. Englisch. Bestandsnummer des Verkäufers 9789811932649
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Quantum Groups in Three-Dimensional Integrability (Theoretical and Mathematical Physics)
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Quantum Groups in Three-Dimensional Integrability (Theoretical and Mathematical Physics)
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Quantum Groups in Three-Dimensional Integrability
Verlag:
Springer, Berlin|Springer Nature Singapore|Springer, 2023
ISBN 10: 9811932646
ISBN 13: 9789811932649
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Softcover
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denot. Bestandsnummer des Verkäufers 1094389158
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Quantum Groups in Three-Dimensional Integrability
Verlag:
Springer Nature Singapore, Springer Nature Singapore, 2023
ISBN 10: 9811932646
ISBN 13: 9789811932649
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denoted byUqandAq. The former is a deformation of the universal enveloping algebra of a Kac-Moody Lie algebra, whereas the latter is a deformation of the coordinate ring of a Lie group. Although they are dual to each other in principle, most of the applications so far are based onUq, and the main targets are solvable lattice models in 2-dimensions or quantum field theories in 1+1 dimensions.This book aims to present a unique approach to 3-dimensional integrability based onAq. It starts from the tetrahedron equation, a 3-dimensional analogue of the Yang-Baxter equation, and its solution due to work by Kapranov-Voevodsky (1994).Then, it guides readers to its variety of generalizations, relations to quantum groups, and applications. They include a connection to the Poincaré-Birkhoff-Witt basis of a unipotent part ofUq, reductions to the solutions of the Yang-Baxter equation, reflection equation,G2reflection equation, matrix product constructions of quantum R matrices and reflection K matrices, stationary measures of multi-species simple-exclusion processes, etc.These contents of the book are quite distinct from conventional approaches and will stimulate and enrich the theories of quantum groups and integrable systems. Bestandsnummer des Verkäufers 9789811932649
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