{ "id": "math/0005148", "version": "v3", "published": "2000-05-15T18:11:20.000Z", "updated": "2000-11-03T22:08:09.000Z", "title": "On semi-infinite cohomology of finite dimensional algebras", "authors": [ "Roman Bezrukavnikov" ], "comment": "8 pages. Some expositional changes made; few remarks added, one of them concerning semi-infinite cohomology of small quantum groups", "categories": [ "math.RT", "math.AG", "math.KT", "math.QA" ], "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.", "revisions": [ { "version": "v3", "updated": "2000-11-03T22:08:09.000Z" } ], "analyses": { "keywords": [ "finite dimensional algebras", "semi-infinite cohomology", "finite dimensional graded algebra", "small quantum groups", "general categorical construction" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......5148B" } } }