{"product_id":"cohomology-of-infinite-dimensional-lie-algebras-9781468487671","title":"Cohomology of Infinite-Dimensional Lie Algebras","description":"\u003cp\u003e • Author(s): D. B. Fuks\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThere 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282867216535,"sku":"9781468487671","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781468487671.webp?v=1769303448","url":"https:\/\/atlanticbooks.com\/products\/cohomology-of-infinite-dimensional-lie-algebras-9781468487671","provider":"Atlantic Books","version":"1.0","type":"link"}