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arXiv · 2207.11863

Finite dimensional Nichols algebras over $H_{c: \sigma_{0}}$ of Kashina

Miantao Liu·Gongxiang Liu·Kun Zhou
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Abstract

Let $H$ be the Hopf algebra $H_{c: \sigma_{0}}$ of Kashina [J. Algebra, 232(2000),pp.617-663]. We give all simple Yetter-Drinfel'd modules $V$ over $H$, then classify all finite-dimensional Nichols algebras of $V$. The finite dimensional Nichols algebras of diagonal type are either $A_{1}, A_{2}$ or quantum planes, and non-diagonal type ones are $8$ or $16$ dimensional.

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BibTeXRIS

Miantao Liu, Gongxiang Liu, Kun Zhou. 2022-07-25. Finite dimensional Nichols algebras over $H_{c: \sigma_{0}}$ of Kashina. https://arxiv.org/abs/2207.11863

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