Quantum Groups and Their Representations

Name: Quantum Groups and Their Representations
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642646010
Price: 635.01 PLN
Availability: InStock

Autor: Anatoli Klimyk, Konrad Schmüdgen

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostępność: Dostępna u dostawcy

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The invention of quantum groups is one of the outstanding achievements of mathematical physics and m...

Informacje o książce

Autor

Anatoli Klimyk, Konrad Schmüdgen

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2011

strony

552

EAN

9783642646010

ISBN

3642646018

Enbook ID

06986422

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

861

Wymiary

155 x 235 x 238

Pełny opis

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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