Constructing dynamical twists over a non-abelian base

TL;DR

This paper constructs examples of dynamical twists in finite-dimensional Hopf algebras over non-abelian bases using a categorical approach, expanding the understanding of such algebraic structures.

Contribution

It introduces new examples of dynamical twists over non-abelian bases within finite-dimensional Hopf algebras, utilizing a categorical framework.

Findings

Examples of dynamical twists constructed over non-abelian bases

Application of categorical approach to dynamical twists

Extension of existing theory to broader algebraic contexts

Abstract

We give examples of dynamical twists in finite-dimensional Hopf algebras over an arbitrary Hopf subalgebra. The construction is based on the categorical approach of dynamical twists introduced by Donin and Mudrov.