• Corpus ID: 233210219

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… 
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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
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