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arXiv · 2411.02304

Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups

N. Andruskiewitsch·I. Heckenberger·L. Vendramin
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Abstract

We classify finite-dimensional Nichols algebras of Yetter-Drinfeld modules with indecomposable support over finite solvable groups in characteristic 0, using a variety of methods including reduction to positive characteristic. As a consequence, all Nichols algebras over groups of odd order are of diagonal type, which allows us to describe all pointed Hopf algebras of odd dimension.

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N. Andruskiewitsch, I. Heckenberger, L. Vendramin. 2024-11-04. Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups. https://arxiv.org/abs/2411.02304

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