南方科技大学知识苑(SUSTech KC): Stable equivalences with endopermutation source, slash functors, and functorial equivalences

题名	Stable equivalences with endopermutation source, slash functors, and functorial equivalences
作者	Huang，Xin
发表日期	2024-07-15
DOI	10.1016/j.jalgebra.2024.03.033
发表期刊	Journal of Algebra 影响因子和分区
ISSN	0021-8693
EISSN	1090-266X
卷号	650页码:335-353
摘要	We show that a bimodule of two block algebras of finite groups which has an endopermutation module as a source and which induces a stable equivalence of Morita type gives rise, via slash functors, to a family of bimodules of local block algebras with endopermutation source which induce Morita equivalences. As an application, we show that Morita (resp. stable) equivalences with endopermutation source imply functorial (resp. stable functorial) equivalences defined by Bouc and Yılmaz.
关键词	Endopermutation modules Finite groups Functorial equivalences p-blocks Stable equivalences of Morita type
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	第一
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85190448156
来源库	Scopus
引用统计
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/741051
专题	南方科技大学
作者单位	Shenzhen International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
第一作者单位	南方科技大学
第一作者的第一单位	南方科技大学
推荐引用方式 GB/T 7714	Huang，Xin. Stable equivalences with endopermutation source, slash functors, and functorial equivalences[J]. Journal of Algebra,2024,650:335-353.
APA	Huang，Xin.(2024).Stable equivalences with endopermutation source, slash functors, and functorial equivalences.Journal of Algebra,650,335-353.
MLA	Huang，Xin."Stable equivalences with endopermutation source, slash functors, and functorial equivalences".Journal of Algebra 650(2024):335-353.