Cohomology of bifunctors

被引：12

作者：

Franjou, Vincent

Friedlander, Eric M.

机构：

[1] Laboratoire Jean Leray, Université de Nantes, 44322 Nantes Cedex 3

[2] Department of Mathematics, Northwestern University, Evanston

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 97卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/plms/pdn005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We initiate the study of the cohomology of (strict polynomial) bifunctors by introducing the foundational formalism, establishing numerous properties in analogy with the cohomology of functors, and providing computational techniques. Since one of the initial motivations for the study of functor cohomology was the determination of H* (GL(k), S*(gl) circle times Lambda (gl)), we keep this challenging example in mind as we achieve numerous computations which illustrate our methods.

引用

页码：514 / 544

页数：31

共 16 条

[1] SCHUR FUNCTORS AND SCHUR COMPLEXES [J].