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Representation of Lie Groups and Special Functions

Volume 3: Classical and Quantum Groups and Special Functions

  • Book
  • © 1992

Overview

Authors:
  1. N. Ja. Vilenkin

    1. Department of Mathematics, C.I.S., The Correspondence Pedagogical Institute, Moscow, Russia

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  2. A. U. Klimyk

    1. Institute of Theoretical Physics, C.I.S., Ukrainian Academy of Sciences, Kiev, Ukraine

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 75)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 1-136

  3. Semisimple Lie Groups and Related Homogeneous Spaces

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 137-198

  4. Representations of Semisimple Lie Groups and Their Matrix Elements

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 199-250

  5. Group Representations and Special Functions of a Matrix Argument

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 251-360

  6. Representations in the Gel’fand-Tsetlin Basis and Special Functions

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 361-446

  7. Modular Forms, Theta Functions and Representations of Affine Lie Algebras

    • N. Ja. Vilenkin, A. U. Klimyk
    Pages 447-602

  8. Back Matter

    Pages 603-634
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Keywords

Authors and Affiliations

  • Department of Mathematics, C.I.S., The Correspondence Pedagogical Institute, Moscow, Russia

    N. Ja. Vilenkin

  • Institute of Theoretical Physics, C.I.S., Ukrainian Academy of Sciences, Kiev, Ukraine

    A. U. Klimyk

Bibliographic Information

  • Book Title: Representation of Lie Groups and Special Functions

  • Book Subtitle: Volume 3: Classical and Quantum Groups and Special Functions

  • Authors: N. Ja. Vilenkin, A. U. Klimyk

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-017-2881-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1992

  • Hardcover ISBN: 978-0-7923-1493-6Published: 30 September 1992

  • Softcover ISBN: 978-90-481-4104-3Published: 05 December 2010

  • eBook ISBN: 978-94-017-2881-2Published: 18 April 2013

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XX, 634

  • Additional Information: Originally published in Russian

  • Topics: Special Functions, Abstract Harmonic Analysis, Topological Groups, Lie Groups, Integral Transforms, Operational Calculus

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