Anatoli Klimyk; Konrad Schm?dgen Quantum Groups and Their Representations 9783642646010

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Автор: Anatoli Klimyk; Konrad Schm?dgen
Название: Quantum Groups and Their Representations
ISBN: 9783642646010
Издательство: Springer
Классификация:

Группы и теория групп

Математическая физика

ISBN-10: 3642646018
Обложка/Формат: Soft cover
Страницы: 572
Вес: 0.86 кг.
Дата издания: 14.12.2011
Серия: Theoretical and Mathematical Physics
Язык: English
Издание: Softcover reprint of
Иллюстрации: Biography
Размер: 234 x 156 x 30
Читательская аудитория: Professional & vocational
Основная тема: Mathematical Methods in Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Quantum Groups and Their Representations, Anatoli Klimyk; Konrad Schm?dgen