000			02184 a2200301 4500
003			OSt
005			20250925120113.0
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020			_a9781468487671 _qpaperback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a517.986.5 _bFUK-C
100	1		_aFuks, D. B.
240	1	0	_aKogomologii beskonechnomernykh algebr Li. _lEnglish
245			_aCohomology of infinite-dimensional lie algebras
260			_aNew York : _bConsultants Bureau, _c1986.
300			_axii, 339p. : _bill. ; _c24cm
500			_aTranslation of: Kogomologii beskonechnomernykh algebr Li.
500			_aIncludes index.
504			_aBibliography: p. 319-327.
520			_aThere 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.
650			_aInfinite dimensional Lie algebras
650			_aHomology theory
650			_aLie algebras
650			_aCohomology
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4684-8765-7/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/21994399-cohomology-of-infinite-dimensional-lie-algebras#CommunityReviews
942			_cBK _2udc
999			_c36216 _d36216