On the cohomology of relative Hopf modules

被引：17

作者：

Caenepeel, S ^{[1
]}

Guédénon, T ^{[1
]}

机构：

[1] Vrije Univ Brussels, Fac Engn, B-1050 Brussels, Belgium

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期

关键词：

coinvariants; cosemisimple Hopf algebra; relative Hopf module; right derived functor;

D O I：

10.1080/00927870500261322

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a Hopf algebra over a field k , and A an H-comodule algebra. The categories of comodules and relative Hopf modules are then Grothendieck categories with enough injectives. We study the derived functors of the associated Hom functors, and of the coinvariants functor, and discuss spectral sequences that connect them. We also discuss when the coinvariants functor preserves injectives.

引用

页码：4011 / 4034

页数：24

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