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容许性余代数的必要条件

Necessary conditions for coalgebras being admissible
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摘要 通过从余代数的角度构造Hop玳数的块系统,给出了非余半单余代数和纯非余半单余代数具有容许性的必要条件.其应用简化了45维和105维Hop玳数的分类,为有限维Hopf代数的分类提供了新的方法. In this paper,necessary conditions are given for non-cosemisimple and pure noncosemisimple coalgebras being admissible,using block systems built for Hopf algebras through their coalgebra structure.The implications simplify the classification for Hopf algebras of dimension 45 and105 and provide a new method for the finite dimensional Hopf algebras classification problem.
作者 范中平
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2016年第2期225-232,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(11271319)
关键词 余代数 容许性 HOPF代数 分类 块系统 coalgebra admissibility Hopf algebra classification block system
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参考文献11

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