On semi-infinite cohomology of finite dimensional graded algebras

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).

arXiv comment17 pages; this paper supersedes preprint arXiv:math/0005148 by the first author

References in corpus (1)

• Semiinfinite cohomology of quantum groups

Cited by in corpus (3)

• Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre-Grothendieck duality
• $t$-Structures with Grothendieck hearts via functor categories
• Contramodules