Article,

On semi-infinite cohomology of finite dimensional graded algebras

, and .
0803.3252, (March 2008)

Abstract

We describe a general setting for the definition of semi-infinite cohomology of finite dimensional algebras, and provide its categorical interpretation. We apply this interpretation to compute semi-infinite cohomology of some modules over the small group at a root of unity, generalizing an earlier result of S. Arkhipov (conjectured by B. Feigin).

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