Group gradings and actions of pointed Hopf algebras

Bahturin Yuri; Montgomery Susan

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Group gradings and actions of pointed Hopf algebras

机译：尖头Hopf代数的小组评分和行为

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摘要

We study actions of pointed Hopf algebras on matrix algebras. Our approach is based on known facts about group gradings of matrix algebras [Y. Bahturin, S. Sehgal and M. Zaicev, Group gradings on associative algebras, J. Algebra241 (2001) 667-698] and other sources.

机译：研究了点Hopf代数对矩阵代数的作用。我们的方法基于关于矩阵代数的群梯度的已知事实[Y.Bahturin，S.Sehgal和M.Zaicev，结合代数的群梯度，J.Algebra241（2001）667-698]和其他来源。

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来源
《Journal of algebra and its applications》 |2021年第1期|共40页
作者
Bahturin Yuri; Montgomery Susan;
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作者单位

Mem Univ Newfoundland Dept Math &

Stat St John NB A1C 5S7 Canada;

Univ Southern Calif Dept Math Los Angeles CA 90089 USA;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Hopf algebras; graded algebras; algebras given by generators and defining relations;

机译：Hopf代数;分级代数;由发电机给出的代数和定义关系;

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3. Hopf algebra actions on differential graded algebras and applications [J] . Ji-Wei He, Fred Van Oystaeyen, Yinhuo Zhang Bulletin of the Belgian Mathematical Society-Simon Stevin . 2011,第1期

机译：Hopf代数对微分渐变代数的作用及其应用
4. McKay correspondence for semisimple Hopf actions on regular graded algebras. II [J] . Chan Kenneth, Kirkman Ellen, Walton Chelsea, Journal of noncommutative geometry . 2019,第1期

机译：Mckay对常规分级代数上的半动跳跃动作的对应。二
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6. Maschke Theorem for Semilattice Graded Weak Hopf Algebra [C] . Hai-jun Cao, Qing-zhou Xu International Conference on Mechanical and Electronics Engineering . 2010

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7. Extending Actions of Hopf Algebras to Actions of the Drinfel'd Double [D] . Cline, Zachary. 2019

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8. Plethystic Hopf algebras. [O] . G C Rota, J A Stein 1994

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9. Hopf algebra actions on differential graded algebras and applications [O] . He, Ji-Wei, Van Oystaeyen, Fred, Zhang, Yinhuo 2010

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10. Graded Dual of the Non-Commutative Universal Leibniz Hopf Algebra Zeta [R] . Scholtens, A. C. J. 1994

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Group gradings and actions of pointed Hopf algebras

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