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arXiv · 1512.01696

Twisting Hopf algebras from cocycle deformations

Nicolás Andruskiewitsch·Agustín García Iglesias
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Abstract

Let $H$ be a Hopf algebra. Any finite-dimensional lifting of $V\in {}^{H}_{H}\mathcal{YD}$ arising as a cocycle deformation of $A=\mathfrak{B}(V)\#H$ defines a twist in the Hopf algebra $A^*$, via dualization. We follow this recipe to write down explicit examples and show that it extends known techniques for defining twists. We also contribute with a detailed survey about twists in braided categories.

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Nicolás Andruskiewitsch, Agustín García Iglesias. 2015-12-05. Twisting Hopf algebras from cocycle deformations. https://arxiv.org/abs/1512.01696

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