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On semi-infinite cohomology of finite dimensional algebras

arXiv:math/0005148

Abstract

We show that semi-infinite cohomology of a finite dimensional graded algebra (satisfying some additional requirements) are a particular case of a general categorical construction. The motivating example is provided by small quantum groups at a root of unity.

8 pages. Some expositional changes made; few remarks added, one of them concerning semi-infinite cohomology of small quantum groups