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On Smash Products of Transitive Module Algebras 被引量:3

On Smash Products of Transitive Module Algebras
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摘要 Let H be a semisimple Hopf algebra over a field of characteristic 0, and A a finite-dimensional transitive H-module algebra with a l-dimensional ideal. It is proved that the smash product A#H is isomorphic to a full matrix algebra over some right coideal subalgebra N of H. The correspondence between A and such N, and the special case A = k(X) of function algebra on a finite set X are considered.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第4期541-554,共14页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.10731070)
关键词 Semisimple Hopf algebra Smash product Transitive module algebra 模代数 传递 冲积 Hopf 场代数 有限维 半单 理想
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参考文献12

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同被引文献6

  • 1YAN Min, ZHU Yong-chang. Stabilizer for Hopf Algebra Actions [J], Communications in Algebra, 1998,26 (12):3885-3898.
  • 2ANDRUSKIEWITSCH N,MOMBELLI J M. On Module Categories Over Finite-Dimensional Hopf Algebras [J]. J ofAlgebra, 2007,314(1): 383 — 418.
  • 3WANG Cai-hong, ZHU Sheng-lin. Smash Products of H-Simple Module Algebras [J]. Communications in Algebra,2013,41(5): 1836-1845.
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  • 6李旭东.N(2,2,0)代数的稳定化子与同余分解[J].纯粹数学与应用数学,2011,27(1):123-128. 被引量:2

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