| Cohomology of Infinite-Dimensional Lie Algebras 1986 Edition Contributor(s): Fuks, D. B. (Author) |
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ISBN: 1468487671 ISBN-13: 9781468487671 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: June 2012 |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Group Theory - Mathematics | Algebra - Linear |
| Dewey: 512.55 |
| Series: Monographs in Contemporary Mathematics |
| Physical Information: 0.73" H x 6" W x 9" (1.04 lbs) 339 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |