On semi-infinite cohomology of finite-dimensional graded algebras

被引：3

作者：

Bezrukavnikov, Roman ^{[1
]}

Positselski, Leonid ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Inst Informat Transmiss Problems, Sector Algebra & Number Theory, Moscow 127994, Russia

来源：

COMPOSITIO MATHEMATICA | 2010年 / 146卷 / 02期

基金：

美国国家科学基金会;

关键词：

semi-infinite cohomology; small quantum groups; QUANTUM GROUPS;

D O I：

10.1112/S0010437X09004382

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a general setting for the definition of semi-infinite cohomology of finite-dimensional graded algebras, and provide an interpretation of such cohomology in terms of derived categories. We apply this interpretation to compute semi-infinite cohomology of some modules over the small quantum group at a root of unity, generalizing an earlier result of Arkhipov (posed as a conjecture by B. Feigin).

引用

页码：480 / 496

页数：17

共 20 条

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