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Cohomology of Infinite-Dimensional Lie Algebras

  • Book
  • © 1986

Overview

Authors:
  1. D. B. Fuks

    1. Moscow State University, Moscow, USSR

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Part of the book series: Monographs in Contemporary Mathematics (MCMA)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-xii
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  2. General Theory

    • D. B. Fuks
    Pages 1-60

  3. Computations

    • D. B. Fuks
    Pages 61-207

  4. Applications

    • D. B. Fuks
    Pages 209-317

  5. Back Matter

    Pages 319-339
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Keywords

About this book

There is no question that the cohomology of infinite­ dimensional Lie algebras deserves a brief and separate mono­ graph. This subject is not cover~d by any of the tradition­ al branches of mathematics and is characterized by relative­ ly elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo­ rems, which usually allow one to "recognize" any finite­ dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classifica­ tion theorems in the theory of infinite-dimensional Lie al­ gebras as well, but they are encumbered by strong restric­ tions of a technical character. These theorems are useful mainly because they yield a considerable supply of interest­ ing examples. We begin with a list of such examples, and further direct our main efforts to their study.

Authors and Affiliations

  • Moscow State University, Moscow, USSR

    D. B. Fuks

Bibliographic Information

  • Book Title: Cohomology of Infinite-Dimensional Lie Algebras

  • Authors: D. B. Fuks

  • Series Title: Monographs in Contemporary Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-8765-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Consultants Bureau, New York 1986

  • Softcover ISBN: 978-1-4684-8767-1Published: 12 June 2012

  • eBook ISBN: 978-1-4684-8765-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 339

  • Topics: Topological Groups, Lie Groups

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