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arXiv · 2306.02989

Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension

I. Heckenberger·E. Meir·L. Vendramin
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Abstract

Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector spaces and study their degenerations and specializations.

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I. Heckenberger, E. Meir, L. Vendramin. 2023-06-05. Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension. https://doi.org/10.1016/j.aim.2024.109637

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