Hopf (Bi-)Modules and Crossed Modules in Braided Monoidal Categories
| dc.creator | Bespalov, Yuri | |
| dc.creator | Drabant, Bernhard | |
| dc.date | 1995-10-06 | |
| dc.date.accessioned | 2026-07-07T09:16:42Z | |
| dc.date.available | 2026-07-07T09:16:42Z | |
| dc.description | Hopf (bi-)modules and crossed modules over a bialgebra B in a braided monoidal category C are considered. The (braided) monoidal equivalence of both categories is proved provided B is a Hopf algebra (with invertible antipode). Bialgebra projections and Hopf bimodule bialgebras over a Hopf algebra in C are found to be isomorphic categories. As a consequence a generalization of the Radford-Majid criterion for a braided Hopf algebra to be a cross product is obtained. The results of this paper turn out to be fundamental for the construction of (bicovariant) differential calculi on braided Hopf algebras. | |
| dc.description | uuencoded compressed postscript file, 20 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9510009 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9510009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153445 | |
| dc.subject | Quantum Algebra | |
| dc.title | Hopf (Bi-)Modules and Crossed Modules in Braided Monoidal Categories | |
| dc.type | text |