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Introduction to Superanalysis

  • Book
  • © 1987

Overview

Authors:
  1. Felix Alexandrovich Berezin
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    You can also search for this author in PubMed   Google Scholar

Editors:
  1. A. A. Kirillov
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Part of the book series: Mathematical Physics and Applied Mathematics (MPAM, volume 9)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    1. Introduction

      • Felix Alexandrovich Berezin
      Pages 1-25

  3. Part I

    1. Front Matter

      Pages 27-27
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    2. Grassmann Algebra

      • Felix Alexandrovich Berezin
      Pages 29-73

    3. Superanalysis

      • Felix Alexandrovich Berezin
      Pages 74-89

    4. Linear Algebra in Z 2-Graded Spaces

      • Felix Alexandrovich Berezin
      Pages 90-130

    5. Supermanifolds in General

      • Felix Alexandrovich Berezin
      Pages 131-169

    6. Lie Superalgebras

      • Felix Alexandrovich Berezin
      Pages 170-228

  4. Part II

    1. Front Matter

      Pages 229-229
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    2. Lie Superalgebras

      • Felix Alexandrovich Berezin
      Pages 231-244

    3. Lie Supergroups

      • Felix Alexandrovich Berezin
      Pages 245-278

    4. Laplace-Casimir Operators (General Theory)

      • Felix Alexandrovich Berezin
      Pages 279-311

    5. The Radial Parts of the Laplace Operators on the Lie Supergroups U(p,q) and C(m, n)

      • Felix Alexandrovich Berezin
      Pages 312-343

    6. Construction of Representations of Lie Supergroups U(p,q) and C(m,n)

      • Felix Alexandrovich Berezin
      Pages 344-373

  5. Back Matter

    Pages 374-424
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Keywords

Bibliographic Information

  • Book Title: Introduction to Superanalysis

  • Authors: Felix Alexandrovich Berezin

  • Editors: A. A. Kirillov

  • Series Title: Mathematical Physics and Applied Mathematics

  • DOI: https://doi.org/10.1007/978-94-017-1963-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1987

  • Hardcover ISBN: 978-90-277-1668-2Published: 31 July 1987

  • Softcover ISBN: 978-90-481-8392-0Published: 25 December 2010

  • eBook ISBN: 978-94-017-1963-6Published: 09 April 2013

  • Edition Number: 1

  • Number of Pages: XII, 424

  • Additional Information: Originally published in Russian

  • Topics: Theoretical, Mathematical and Computational Physics, Analysis

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