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Quantum Groups and Their Representations

Language EnglishEnglish
Book Paperback
Book Quantum Groups and Their Representations Anatoli Klimyk
Libristo code: 06986422
The invention of quantum groups is one of the outstanding achievements of mathematical physics and m... Full description
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The invention of quantum groups is one of the outstanding achievements of mathematical physics and mathematics in the late twentieth century. The birth of the new theory and its rapid development are results of a strong interrelation between mathematics and physics. Quantu~ groups arose in the work of L.D. Faddeev and the Leningrad school on the inverse scattering method in order to solve integrable models. The algebra Uq(sh) appeared first in 1981 in a paper by P.P. Kulish and N.Yu. Reshetikhin on the study of integrable XYZ models with highest spin. Its Hopf algebra structure was discovered later by E.K. Sklyanin. A major event was the discovery by V.G. Drinfeld and M. Jimbo around 1985 of a class of Hopf algebras which can be considered as one-parameter deforma tions of universal enveloping algebras of semisimple complex Lie algebras. These Hopf algebras will be called Drinfeld-Jimbo algebras in this book. Al most simultaneously, S.L. Woronowicz invented the quantum group SUq(2) and developed his theory of compact quantum matrix groups. An algebraic approach to quantized coordinate algebras was given about this time by Yu.I. Manin.

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About the book

Full name Quantum Groups and Their Representations
Language English
Binding Book - Paperback
Date of issue 2011
Number of pages 552
EAN 9783642646010
ISBN 3642646018
Libristo code 06986422
Weight 861
Dimensions 155 x 235 x 238
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