Dynamical twists in Hopf algebras

Details Dynamical twists in Hopf algebras Dynamical twists in Hopf algebras

2007-01-26

arxiv.org/abs/math/0701758v2

Int. Math. Res. Not. (2007) vol. 2007

Mathematics

Quantum Algebra

21 pages, minor misprints corrected, to appear in Int. Math. Res. Not

Scientific paper

We establish a bijective correspondence between gauge equivalence classes of dynamical twists in a finite-dimensional Hopf algebra $H$ based on a finite abelian group $A$ and equivalence classes of pairs $(K, \{V_{\lambda}\}_{\lambda\in \hat{A}})$, where $K$ is an $H$-simple left $H$-comodule semisimple algebra and $\{V_{\lambda}\}_{\lambda\in \hat{A}}$ is a family of irreducible representations satisfying certain conditions. Our results generalize the results obtained by Etingof-Nikshych on the classification of dynamical twists in group algebras.

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