Hopf monads

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We introduce and study Hopf monads on autonomous categories (i.e., monoidal categories with duals). Hopf monads generalize Hopf algebras to a non-braided (and non-linear) setting. Indeed, any monoidal adjunction between autonomous categories gives rise to a Hopf monad. We extend many fundamental results of the theory of Hopf algebras (such as the decomposition of Hopf modules, the existence of integrals, Maschke's criterium of semisimplicity, etc...) to Hopf monads. We also introduce and study quasitriangular and ribbon Hopf monads (again defined in a non-braided setting).
47 pages

Keywords

Quantum Algebra, Category Theory, 16W30; 18C20; 18D10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/111489

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604180
 http://arxiv.org/abs/math/0604180

Collections

arXiv