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Finite-Dimensional Hopf Algebras

SYuqiu Wei, Beishang Ren

Abstract


This paper mainly discussed various characterizations for the finite-dimensional Hopf algebras over algebraically closed field and
has characteristic 0. And further showed that the order of antipode of the Hopf algebras is finite, but also provides a hint on how to estimate
the order of the antipodes.

Keywords


Finite-dimensional Hopf algebras; Order of the antipode ; Trace; Semisimple; Cosemisimple; Eigenvalue; Distinguished grouplike

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References


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Soc.,Porvidence,1993.

[6] Radford D.E., On the antipode of a cosemisimple Hopf algebra[J], J. Algebra,1985.


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