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Finite-Dimensional Hopf Algebras

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




DOI: http://dx.doi.org/10.18686/ahe.v6i15.5134

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