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arXiv · 1701.00153

On unrolled Hopf algebras

Nicolás Andruskiewitsch·Christoph Schweigert
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Abstract

We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra $\mathcal{B}$ of a Yetter-Drinfeld module $V$ on which a Lie algebra $\mathfrak g$ acts by biderivations. Specializing to Nichols algebras of diagonal type, we find unrolled versions of the small, the De Concini-Procesi and the Lusztig divided power quantum group, respectively.

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Nicolás Andruskiewitsch, Christoph Schweigert. 2016-12-31. On unrolled Hopf algebras. https://arxiv.org/abs/1701.00153

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