The complexity of crossed products | |
Liu, Ling1; Shen, Bing-Liang2 | |
刊名 | MATHEMATICAL NOTES
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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. |
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