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Titlebook: Cohomology of Infinite-Dimensional Lie Algebras; D. B. Fuks Book 1986 Consultants Bureau, New York 1986 Characteristic class.Finite.algebr

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书目名称Cohomology of Infinite-Dimensional Lie Algebras
编辑D. B. Fuks
视频video
丛书名称Monographs in Contemporary Mathematics
图书封面Titlebook: Cohomology of Infinite-Dimensional Lie Algebras;  D. B. Fuks Book 1986 Consultants Bureau, New York 1986 Characteristic class.Finite.algebr
描述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.
出版日期Book 1986
关键词Characteristic class; Finite; algebra; bordism; boundary element method; character; classification; cohomol
版次1
doihttps://doi.org/10.1007/978-1-4684-8765-7
isbn_softcover978-1-4684-8767-1
isbn_ebook978-1-4684-8765-7
copyrightConsultants Bureau, New York 1986
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978-1-4684-8767-1Consultants Bureau, New York 1986
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Mitchell M. Levy MD, FCCM,Nicholas S. Ward appropriate places with references to readily available sources, mainly to the works of the Sophus Lie Seminars [94], Here we merely list the Lie algebras which we shall use later on, and briefly describe their properties.
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Bashar Staitieh MD,Greg S. Martin MD, MScThis section is mainly devoted to the homology and co-homology of the algebra gl ., K). The case of other finite-dimensional algebras is briefly discussed in the last subsection.
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