Twisting Hopf algebras from cocycle deformations

2015/12/05 by Andruskiewitsch, Nicolás, Iglesias, Agustín García · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1512.01696

Abstract

Let H be a Hopf algebra. Any finite-dimensional lifting of V∈ ^H_HYD arising as a cocycle deformation of A=\mathfrakB(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.

Cited by

• Hopf 2-cocycles of type A₂

Related

• On twisting of finite-dimensional Hopf algebras
• Twistings, crossed coproducts and Hopf-Galois coextensions
• Cocycle deformations for liftings of quantum linear spaces
• Construction of Cocycle Bicrossproducts by Twisting
• Liftings of Nichols algebras of diagonal type II. All liftings are\n cocycle deformations