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arXiv · 1201.2064

Finite dimensional Nichols algebras over finite cyclic groups

Weicai Wu·Shouchuan Zhang·Yao-Zhong Zhang
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Abstract

All finite dimensional Nichols algebras with diagonal type of connected finite dimensional Yetter-Drinfeld modules over finite cyclic group $\mathbb Z_n$ are found. It is proved that finite dimensional Nichols algebra over $\mathbb Z_2$ is a quantum linear space and Nichols algebra of connected Yetter-Drinfeld module $V$ over $\mathbb Z_n$ with $\dim V >3$ is infinite dimensional.

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Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang. 2013-09-10. Finite dimensional Nichols algebras over finite cyclic groups. https://arxiv.org/abs/1201.2064

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