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Cohomology of Infinite-Dimensional Lie Algebras (Monographs in Contemporary Mathematics) free ebook download

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Mathematics

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Author(s):	D.B. Fuks

Date:	1986-12-31	Format:	djvu	Language:	English	ISBN/ASIN:	0306109905
Pages:	352	OCR:		Quality:		ISBN13:	9780306109904
Uploader:	tvladb77	Upload Date:	12/3/2021 11:42:00 PM

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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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Tags: Algebras Cohomology Contemporary Infinite-Dimensional Mathematics Monographs

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Cohomology of Infinite-Dimensional Lie Algebras (Monographs in Contemporary Mathematics) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics