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arXiv · 1302.0213

Nichols algebras over groups with finite root system of rank two II

I. Heckenberger·L. Vendramin
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Abstract

We classify all non-abelian groups G such that there exists a pair (V,W) of absolutely simple Yetter-Drinfeld modules over G such that the Nichols algebra of the direct sum of V and W is finite-dimensional under two assumptions: the square of the braiding between V and W is not the identity, and G is generated by the support of V and W. As a corollary, we prove that the dimensions of such V and W are at most six. As a tool we use the Weyl groupoid of (V,W).

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BibTeXRIS

I. Heckenberger, L. Vendramin. 2014-04-22. Nichols algebras over groups with finite root system of rank two II. https://doi.org/10.1515/jgth-2014-0024

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