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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The work was partially supported by CONICET, Secyt (UNC), the MathAmSud project GR2HOPF.
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Andruskiewitsch, N., García Iglesias, A. Twisting Hopf algebras from cocycle deformations. Ann Univ Ferrara 63, 221–247 (2017). https://doi.org/10.1007/s11565-016-0264-9
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DOI: https://doi.org/10.1007/s11565-016-0264-9