On semi-infinite cohomology of finite dimensional graded algebras

Mathematics – Quantum Algebra

Scientific paper

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17 pages; this paper supersedes preprint arXiv:math/0005148 by the first author

Scientific paper

10.1112/S0010437X09004382

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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