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Cohomology of Infinite-Dimensional Lie Algebras by D. B. Fuks

Cohomology of Infinite-Dimensional Lie Algebras

by D. B. Fuks
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Book cover type: Paperback
  • ISBN13: 9781468487671
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 339
  • Original Price: EUR 49.99
  • Language: English
  • Edition: 1986
  • Item Weight: 508 grams
  • BISAC Subject(s): General, Group Theory, and Algebra / Linear

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.

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