Stably Calabi-Yau algebras and skew group algebras

Stably Calabi-Yau algebras and skew group algebras

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摘要 Let G be a finite group and A be a finite-dimensional selfinjective algebra over an algebraically closed field. Suppose A is a left G-module algebra. Some suficient conditions for the skew group algebra AG to be stably Calabi-Yau are provided, and some new examples of stably Calabi-Yau algebras are given as well. Let G be a finite group and A be a finite-dimensional selfinjective algebra over an algebraically closed field. Suppose A is a left G-module algebra. Some suficient conditions for the skew group algebra AG to be stably Calabi-Yau are provided, and some new examples of stably Calabi-Yau algebras are given as well.

作者 YU XiaoLan LU DiMing

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2011年第7期1343-1356,共14页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China (GrantNo. 10971188)

关键词 selfinjective algebra stably Calabi-Yau algebra skew group algebra 群代数稳定代数和代数闭域有限群有限维模代数内射

分类号 O152 [理学—基础数学] TM727.2 [电气工程—电力系统及自动化]

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Science China Mathematics

2011年第7期

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Stably Calabi-Yau algebras and skew group algebras

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