Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras
| dc.creator | Bulacu, D. | |
| dc.creator | Caenepeel, S. | |
| dc.creator | Torrecillas, B. | |
| dc.date | 2004-07-29 | |
| dc.date.accessioned | 2026-07-07T05:10:49Z | |
| dc.date.available | 2026-07-07T05:10:49Z | |
| dc.description | For a quasi-Hopf algebra $H$, a left $H$-comodule algebra $\mf{B}$ and a right $H$-module coalgebra $C$ we will characterize the category of Doi-Hopf modules ${}^C{\cal M}(H)_{\mf{B}}$ in terms of modules. We will also show that for an $H$-bicomodule algebra $\mb{A}$ and an $H$-bimodule coalgebra $C$ the category of generalized Yetter-Drinfeld modules ${}_{\mb{A}}{\cal YD}(H)^C$ is isomorphic to a certain category of Doi-Hopf modules. Using this isomorphism we will transport the properties from the category of Doi-Hopf modules to the category of generalized Yetter-Drinfeld modules. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407510 | |
| dc.identifier | http://arxiv.org/abs/math/0407510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72052 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 | |
| dc.title | Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras | |
| dc.type | text |