Factorizable quasi-Hopf algebras. Applications

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define the notion of factorizable quasi-Hopf algebra by using a categorical point of view. We show that the Drinfeld double $D(H)$ of any finite dimensional quasi-Hopf algebra $H$ is factorizable, and we characterize $D(H)$ when $H$ itself is factorizable. Finally, we prove that any finite dimensional factorizable quasi-Hopf algebra is unimodular. In particular, we obtain that the Drinfeld double $D(H)$ is a unimodular quasi-Hopf algebra.
35 pages

Keywords

Quantum Algebra, 16W30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69448

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312076
 http://arxiv.org/abs/math/0312076

Collections

arXiv