Quantum Groups and Their Representations - Theoretical and Mathematical Physics - Anatoli Klimyk - Bøker - Springer-Verlag Berlin and Heidelberg Gm - 9783642646010 - 14. desember 2011
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Anatoli Klimyk
Quantum Groups and Their Representations - Theoretical and Mathematical Physics Softcover reprint of the original 1st ed. 1997 edition

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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.

552 pages, biography

Media Bøker     Pocketbok   (Bok med mykt omslag og limt rygg)
Utgitt 14. desember 2011
ISBN13 9783642646010
Utgivere Springer-Verlag Berlin and Heidelberg Gm
Antall sider 552
Mål 155 × 235 × 29 mm   ·   793 g
Språk Engelsk   Tysk  

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