{"product_id":"cohomology-of-infinite-dimensional-lie-algebras-9781468487671","title":"Cohomology of Infinite-Dimensional Lie Algebras","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e D. B. Fuks\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/12\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 339\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.04lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.73d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9781468487671","brand":"Springer","offers":[{"title":"Paperback","offer_id":45096925429875,"sku":"9781468487671","price":101.87,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/files\/img_14442bd2-9551-4225-8c1e-ae6e586a075e.jpg?v=1781290275","url":"https:\/\/bookstorenmore.com\/products\/cohomology-of-infinite-dimensional-lie-algebras-9781468487671","provider":"Bookstore N More","version":"1.0","type":"link"}