Quantum Groups and Their Representations

Name: Quantum Groups and Their Representations
SKU: 20761744
Price: 419.99 AUD
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Paperback / softback

Series:

Theoretical and Mathematical Physics

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Description

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.

Release date Australia

December 14th, 2011

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1997

Illustrations

XX, 552 p.

Pages

552

Series

Theoretical and Mathematical Physics

Dimensions

156x234x29

ISBN-13

9783642646010

Product ID

20761744

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