A structure theorem for quasi-Hopf comodule algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

If H is a quasi-Hopf algebra and B is a right H-comodule algebra such that there exists v:H\to B a morphism of right H-comodule algebras, we prove that there exists a left H-module algebra A such that B\simeq A# H. The main difference comparing to the Hopf case is that, from the multiplication of B, which is associative, we have to obtain the multiplication of A, which in general is not; for this we use a canonical projection E arising from the fact that B becomes a quasi-Hopf H-bimodule.
9 pages, no figures

Keywords

Quantum Algebra

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75490

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506272
 http://arxiv.org/abs/math/0506272

Collections

arXiv