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弱Hopf群余代数Kegel定理(英文) 被引量:3

KEGEL’S THEOREM OVER WEAK HOPF GROUP COALGEBRAS
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摘要 本文研究了余三角弱Hopfπ-余代数H的左弱π-H-余模代数.通过构造左弱π-H-余模代数的导出π-σ-李代数,得到了弱Hopfπ-余代数Kegel定理,推广了文献[4]的结果. In this article, we consider the left weak π-H-comodule algebra for a cotriangular weak Hopf π-coalgebra H. By constructing the derived π-σ-Lie algebra for a left weak π-H- comodule algebra, we obtain the Kegel’s theorem over weak Hopf π-coalgebras, which generalizes the results in paper [4].
作者 周璇 杨涛
出处 《数学杂志》 CSCD 北大核心 2013年第2期228-236,共9页 Journal of Mathematics
基金 Supported by Natural Science Foundation for Colleges and Universities in Jiangsu Province(12KJD110003) National Natural Science Foundation of China(11226070)
关键词 弱Hopfπ-余代数 左弱π-H-余模代数 π-σ-李代数 Kegel定理 weak Hopf π-coalgebras left weak π-H-comudule algebras π-σ-Lie algebras Kegel’s theorem
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