# On pointed Hopf algebras over nilpotent groups

@inproceedings{Andruskiewitsch2021OnPH, title={On pointed Hopf algebras over nilpotent groups}, author={Nicol{\'a}s Andruskiewitsch}, year={2021} }

We classify finite-dimensional Nichols algebras over finite nilpotent groups of odd order in group-theoretical terms. The main step is to show that conjugacy classes of such finite groups are either abelian or of type C; this property also holds for finite conjugacy classes of finitely generated nilpotent groups whose torsion has odd order. To extend our approach to the setting of finite GK-dimension, we propose a new Conjecture on racks of type C. We also prove that the bosonization a of…

## One Citation

On the Laistrygonian Nichols algebras that are domains

- Mathematics
- 2022

We consider a class of Nichols algebras B(Lq(1,G )) introduced in arXiv:1606.02521 which are domains and have many favorable properties like AS-regular and strongly noetherian. We classify their…

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ABSTRACT We investigate pointed Hopf algebras over finite nilpotent groups of odd order, with nilpotency class 2. For such a group G, we show that if its commutator subgroup coincides with its…