Dynamical twists for finite-dimensional Hopf algebras

MARTIN MOMBELLI

INTERNATIONAL JOURNAL OF MATHEMATICS

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: London, UK; Año: 2010 vol. 10 p. 1 - 22

0129-167X

We establish a bijective correspondence between gauge equi-valence classes of dynamical twists in a finite-dimensional Hopf algebra $H$ based on a finite abelian group $A$ and equivalence classes of pairs $(K, {V_{lambda}}_{lambdain widehat{A}})$, where $K$ is an $H$-simple left $H$-comodule semisimple algebra and ${V_{lambda}}_{lambdain widehat{A}}$ 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.