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 by Uq and Aq. 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 ...
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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 by Uq and Aq. 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 on Uq, 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 on Aq. 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 Poincar???-Birkhoff-Witt basis of a unipotent part of Uq, reductions to the solutions of the Yang-Baxter equation, reflection equation, G2 reflection 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.
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Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $103.32, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Springer Verlag, Singapore.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Theoretical and Mathematical Physics . XI, 331 p. 96 illus., 32 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $103.32, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Springer Verlag, Singapore.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Theoretical and Mathematical Physics . XI, 331 p. 96 illus., 32 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $130.30, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2023 by Springer.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $132.45, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2023 by Springer Verlag, Singapore.
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New. Contains: Illustrations, black & white, Illustrations, color. Theoretical and Mathematical Physics . XI, 331 p. 96 illus., 32 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $132.45, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Springer Verlag, Singapore.
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Seller's Description:
New. Contains: Illustrations, black & white, Illustrations, color. Theoretical and Mathematical Physics . XI, 331 p. 96 illus., 32 illus. in color. Intended for professional and scholarly audience.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $134.68, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2022 by Springer.
Add this copy of Quantum Groups in Three-Dimensional Integrability to cart. $175.36, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2022 by Springer.
