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Cohomology of Infinite-Dimensional Lie Algebras

Cohomology of Infinite-Dimensional Lie Algebras

          
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About the 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.


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Product Details
  • ISBN-13: 9781468487671
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: Softcover reprint of the original 1st ed. 1986
  • Language: English
  • Returnable: Y
  • Spine Width: 19 mm
  • Width: 152 mm
  • ISBN-10: 1468487671
  • Publisher Date: 12 Jun 2012
  • Binding: Paperback
  • Height: 229 mm
  • No of Pages: 339
  • Series Title: Monographs in Contemporary Mathematics
  • Weight: 471 gr


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