某些半单Hopf代数的结构定理(英)

, PP. 766-770

Keywords: 半单Hopf代数,特征标,双积

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Abstract:

设H是特征为零的代数闭域上的pqr维Hopf代数,其中p

References

[1]	Kaplansky I. Bialgebras\[M\]. Chicago:University of Chicago Press,1975.
[2]	Nichols W D, Richmond M B. The Grothendieck group of a Hopf algebra\[J\]. J Pure Appl Algebra,1996,106:297-306.
[3]	董井成. 一类半单Hopf代数的结构\[J\]. 数学学报:中文版,2011,54(2):293-300.
[4]	黄辉,牛瑞芳,张良云. 弱Hopf代数与(s,i)双代数的自由积\[J\]. 四川师范大学学报:自然科学版,2010,33(4):443-446.
[5]	Montgomery S. Hopf Algebras and Their Actions on Rings\[M\]. Providence, RI:AMS,1993.
[6]	Sweedler M E. Hopf Algebras\[M\]. New York:Benjamin,1969.
[7]	Zhu S. On finite dimensional semisimple Hopf algebras\[J\]. Commun Algebra,1993,21:3871-3885.
[8]	Nichols W D, Zoeller M B. A Hopf algebra freeness theorem\[J\]. Am J Math,1989,111:381-385.
[9]	Radford D. The structure of Hopf algebras with a projection\[J\]. J Algebra,1985,92:322-347.
[10]	Kashina Y, Sommerhauser Y, Zhu Y. Selfdual modules of semisimple Hopf algebras\[J\]. J Algebra,2002,257:88-96.
[11]	Schneider H J. Normal basis and transitivity of crossed products for Hopf algebras\[J\]. J Algebra,1992,152:289-312.
[12]	Montgomery S, Whiterspoon S. Irreducible representations of crossed products\[J\]. J Pure Appl Algebra,1998,129:315-326.
[13]	Etingof P, Gelaki S. Some properties of finite dimensional semisimple Hopf algebras\[J\]. Math Res Lett,1998,5:191-197.
[14]	Etingof P, Gelaki S. Semisimple Hopf algebras of dimension pq are trivial\[J\]. J Algebra,1998,210:664-669.
[15]	Gelaki S, Westreich S. On semisimple Hopf algebras of dimension pq\[J\]. Proc Am Math Soc,2000,128:39-47.
[16]	Masuoka A. Semisimple Hopf algebras of dimension 2p\[J\]. Commun Algebra,1995,23:1931-1940.
[17]	Masuoka A. The pn theorem for semisimple Hopf algebras\[J\]. Proc Am Math Soc,1996,124:735-737.
[18]	Zhu Y. Hopf algebras of prime dimension\[J\]. Internat Math Res Notices,1994,1:53-59.
[19]	Natale S. On semisimple Hopf algebras of dimension pq2(I)\[J\]. J Algebra,1999,22:242-278.
[20]	Natale S. On semisimple Hopf algebras of dimension pq2(II)\[J\]. Algebras Represent Theory,2001,5(3):277-291.
[21]	Natale S. On semisimple Hopf algebras of dimension pqr\[J\]. Algebras Represent Theory,2004,7(2):173-188.

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