Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions

by N.Ja. Vilenkin, A.U. Klimyk

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%.

Product Details

ISBN-13:	9789048141043
Publisher:	Springer Netherlands
Publication date:	12/06/2010
Series:	Mathematics and its Applications , #75
Edition description:	Softcover reprint of hardcover 1st ed. 1992
Pages:	634
Product dimensions:	6.10(w) x 9.25(h) x 0.05(d)

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.