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arXiv · 2312.10505

Finite GK-dimensional Nichols algebras over the quaternion group $Q_8$

Yongliang Zhang
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Abstract

We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GK-dimension for short, through the study of Nichols algebras over Q 8 ,the quaternion group . We find all the irreducible Yetter-Drinfeld modules V over Q 8 , and determine which Nichols algebras B(V ) of V are finite GK-dimensional, and which Nichols algebras B(V ) of V are finite dimensional.

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BibTeXRIS

Yongliang Zhang. 2023-12-16. Finite GK-dimensional Nichols algebras over the quaternion group $Q_8$. https://arxiv.org/abs/2312.10505

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