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arXiv · 1807.09450

On the Exponent of Finite-Dimensional Non-Cosemisimple Hopf Algebras

Kangqiao Li·Shenglin Zhu
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Abstract

In 1999, Y. Kashina introduced the exponent of a Hopf algebra. In this paper, we prove that the exponent of a finite dimensional non-cosemisimple Hopf algebra with Chevalley property in characteristic 0 is infinite, and the exponent of a finite dimensional non-cosemisimple pointed Hopf algebra in positive characteristic is finite.

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Kangqiao Li, Shenglin Zhu. 2018-07-25. On the Exponent of Finite-Dimensional Non-Cosemisimple Hopf Algebras. https://arxiv.org/abs/1807.09450

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