New examples of the Green functors arising from representation theory of semisimple Hopf algebras

被引：2

作者：

Burciu, Sebastian ^{[1
]}

机构：

[1] Romanian Acad Res, Unit 5, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2014年 / 89卷

关键词：

FUSION CATEGORIES; DECOMPOSITION;

D O I：

10.1112/jlms/jdt061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general Mackey-type decomposition for representations of semisimple Hopf algebras is investigated. We show that such a decomposition occurs in the case that the module is induced from an arbitrary Hopf subalgebra and it is restricted back to a group subalgebra. Some other examples when such a decomposition occurs are also constructed. They arise from gradings on the category of corepresentations of a semisimple Hopf algebra and provide new examples of the Green functors in the literature.

引用

页码：97 / 113

页数：17

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