The complexity of crossed products

doi:10.1134/S0001434613030097

CORC > 上海财经大学 > 上海财经大学

	The complexity of crossed products
	Liu, Ling 1; Shen, Bing-Liang 2
刊名	MATHEMATICAL NOTES
	2013-03
卷号	93 期号:3-4 页码:426-430
关键词	crossed product complexity trivial module semisimple algebra Sweedler's 4-dimensional Hopf algebra
ISSN号	0001-4346
DOI	10.1134/S0001434613030097
英文摘要	Let H be a finite-dimensional Hopf algebra, let A be a finite-dimensional algebra measured by H, and let A # (sigma) H be a crossed product. In this paper, we first show that if H is semisimple as well as its dual H*, then the complexity of A # (sigma) H is equal to that of A. Furthermore, we prove that the complexity of a finite-dimensional Hopf algebra H is equal to the complexity of the trivial module (H) k. As an application, we prove that the complexity of Sweedler's 4-dimensional Hopf algebra H (4) is equal to 1.
WOS研究方向	Mathematics
语种	英语
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
WOS记录号	WOS:000317986600009
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2015]
专题	上海财经大学
通讯作者	Liu, Ling
作者单位	1.Zhejiang Normal Univ, Jinhua, Peoples R China; 2.Shanghai Univ Finance & Econ, Zhejiang Coll, Jinhua, Peoples R China
推荐引用方式 GB/T 7714	Liu, Ling,Shen, Bing-Liang. The complexity of crossed products[J]. MATHEMATICAL NOTES,2013,93(3-4):426-430.
APA	Liu, Ling,&Shen, Bing-Liang.(2013).The complexity of crossed products.MATHEMATICAL NOTES,93(3-4),426-430.
MLA	Liu, Ling,et al."The complexity of crossed products".MATHEMATICAL NOTES 93.3-4(2013):426-430.