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Cohomology of Infinite-Dimensional Lie Algebras

D B Fuks
Livre broché | Anglais | Monographs in Contemporary Mathematics
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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.

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Auteur(s) :
Editeur:

Contenu

Nombre de pages :
339
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9781468487671
Date de parution :
12-06-12
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
152 mm x 229 mm
Poids :
471 g

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