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On the representation dimension of smash products

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成果类型:
期刊论文
作者:
Zheng, Lijing;Huang, Chonghui;Wan, Qianhong*
通讯作者:
Wan, Qianhong
作者机构:
[Huang, Chonghui; Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Wan, Qianhong] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China.
通讯机构:
[Wan, Qianhong] H
Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China.
语种:
英文
关键词:
Stable module category;Oppermann dimension;Smash product;Representation dimension
期刊:
Advances in Applied Clifford Algebras
ISSN:
0188-7009
年:
2017
卷:
27
期:
3
页码:
2885-2897
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11271119, 11201220]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [14JJ3099, 2016JJ6124, 2016JJ6049]
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
Let A be a finite dimensional algebra graded by a finite group, and let Γ be the corresponding smash product. We prove that if A is separably graded, then the representation dimension of Γ is at least the Oppermann dimension of A plus two; if A is in addition self-injective, then the representation dimension of Γ is at least the dimension of the stable A-module category plu...

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