Synopses & Reviews
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%.
Table of Contents
Series Editor's Preface. List of Special Symbols. 14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions. 15: Semisimple Lie Groups and Related Homogeneous Spaces. 16: Representation 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. Subject Index.