Classical and quantum groups and special functions
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Bibliographic Information
Classical and quantum groups and special functions
（Mathematics and its applications, . Soviet series ; v. 75 . Representation of Lie groups and special functions ; v. 3）
Kluwer Academic Publishers, c1992
- : hb
- : set
Available at / 41 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
VIL||2||3-3(G)92075206
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:512/v7112070250903
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Note
Translation from the Russian
Bibliography : p. 603-620
Includes index
Description and Table of Contents
- Volume
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: hb ISBN 9780792314936
Description
Onc service malhemalics has rendered Ihe "Et moil ...* si ravait au oomment en revcnir. je n'y serais point aU':' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'are of this series.
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.
- Volume
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: set ISBN 9780792314943
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%.
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.
by "Nielsen BookData"
