Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions
Author:   N.Ja. Vilenkin ,  A.U. Klimyk
Publisher:   Springer
Edition:   1992 ed.
Volume:   75
ISBN:  

9780792314936


Pages:   634
Publication Date:   30 September 1992
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions


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Overview

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%.

Full Product Details

Author:   N.Ja. Vilenkin ,  A.U. Klimyk
Publisher:   Springer
Imprint:   Springer
Edition:   1992 ed.
Volume:   75
Dimensions:   Width: 15.60cm , Height: 3.40cm , Length: 23.40cm
Weight:   2.420kg
ISBN:  

9780792314936


ISBN 10:   079231493
Pages:   634
Publication Date:   30 September 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions.- 15: Semisimple Lie Groups and Related Homogeneous Spaces.- 16: Representations of Semisimple Lie Groups and Their Matrix Elements.- 17: Group Representations and Special Functions of a Matrix Argument.- 18: Representations in the Gel’fand-Tsetlin Basis and Special Functions.- 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras.- Bibliography Notes.

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