Monographs in Contemporary Mathematics

Cohomology of Infinite-Dimensional Lie Algebras

Authors: Fuks, D.B.

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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.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook 74,89 €
price for Spain (gross)
  • ISBN 978-1-4684-8765-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-1-4684-8767-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Cohomology of Infinite-Dimensional Lie Algebras
Authors
Series Title
Monographs in Contemporary Mathematics
Copyright
1986
Publisher
Springer US
Copyright Holder
Consultants Bureau, New York
eBook ISBN
978-1-4684-8765-7
DOI
10.1007/978-1-4684-8765-7
Softcover ISBN
978-1-4684-8767-1
Edition Number
1
Number of Pages
XII, 339
Topics