On Galois extension of Hopf algebras

被引：1
|
作者：
Liu, Guohua [1 ]
Zhu, Shenglin [2 ]
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Fudan Univ, Sch Math Sci, Key Lab Math & Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2008年 / 29卷 / 01期
关键词：
Hopf algebra; Galois extension;
D O I：
10.1007/s11401-007-0020-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be a cosemisimple Hopf algebra over a field k, and pi:A -> H be a surjective cocentral bialgebra homomorphism of bialgebras. The authors prove that if A is Galois over its coinvariants B=LH Ker pi and B is a sub-Hopf algebra of A, then A is itself a Hopf algebra. This generalizes a result of Cegarra [3] on group-graded algebras.
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页码：65 / 70
页数：6
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