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Representation of Lie Groups and Special Functions : Volume 3

Representation of Lie Groups and Special Functions : Volume 3

Classical and Quantum Groups and Special Functions

By N. Ja Vilenkin,A. U. Klimyk

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Publish Date

2013

Publisher

Springer

Language

eng

Pages

634

Description:

This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.