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| On Galois Extension of Hopf Algebras |
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Citation： |
Guohua LIU,Shenglin ZHU.On Galois Extension of Hopf Algebras[J].Chinese Annals of Mathematics B,2008,29(1):65~70 |
| Page view： 1096
Net amount： 793 |
Authors： |
Guohua LIU; Shenglin ZHU |
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| Abstract： |
Let $H$ be a cosemisimple Hopf algebra over a field $k,$ and $\pi:A\rightarrow H$ be a surjective cocentral bialgebra homomorphism of bialgebras. The authors prove that if $A$ is Galois over its coinvariants $B=\text{LH Ker\,}\pi$ 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. |
Keywords： |
Hopf algebra, Galois extension |
Classification： |
16W30 |
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