Picard Groups of Rings of Coinvariants

被引：0

作者：

T. Guédénon

机构：

来源：

Algebras and Representation Theory | 2008年 / 11卷

关键词：

Picard groups; Coinvariants; Doi–Hopf modules; 16W30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let k be a field, H a Hopf k-algebra with bijective antipode, A a right H-comodule algebra and C a Hopf algebra with bijective antipode which is also a right H-module coalgebra. Under some appropriate assumptions, and assuming that the set of grouplike elements G(A ⊗ C) of the coring A ⊗ C is a group, we show how to calculate, via an exact sequence, the Picard group of the subring of coinvariants in terms of the Picard group of A and various subgroups of G(A ⊗ C).

引用

页码：25 / 42

页数：17

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