書目名稱 | Cohomology of Infinite-Dimensional Lie Algebras |
編輯 | D. B. Fuks |
視頻video | http://file.papertrans.cn/230/229264/229264.mp4 |
叢書名稱 | Monographs in Contemporary Mathematics |
圖書封面 |  |
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 |
關鍵詞 | Characteristic class; Finite; algebra; bordism; boundary element method; character; classification; cohomol |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4684-8765-7 |
isbn_softcover | 978-1-4684-8767-1 |
isbn_ebook | 978-1-4684-8765-7 |
copyright | Consultants Bureau, New York 1986 |