L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules
| dc.creator | Panaite, Florin | |
| dc.creator | Van Oystaeyen, Freddy | |
| dc.date | 2008-05-22 | |
| dc.date.accessioned | 2026-07-07T09:40:22Z | |
| dc.date.available | 2026-07-07T09:40:22Z | |
| dc.description | Let H be a bialgebra and D an H-bimodule algebra H-bicomodule coalgebra. We find sufficient conditions on D for the L-R-smash product algebra and coalgebra structures on D\otimes H to form a bialgebra (in this case we say that (H, D) is an L-R-admissible pair), called L-R-smash biproduct. The Radford biproduct is a particular case, and so is, up to isomorphism, a double biproduct with trivial pairing. We construct a prebraided monoidal category {\cal LR}(H), whose objects are H-bimodules H-bicomodules M endowed with left-left and right-right Yetter-Drinfeld module as well as left-right and right-left Long module structures over H, with the property that, if (H, D) is an L-R-admissible pair, then D is a bialgebra in {\cal LR}(H). | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0805.3432 | |
| dc.identifier | http://arxiv.org/abs/0805.3432 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161465 | |
| dc.subject | Quantum Algebra | |
| dc.title | L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules | |
| dc.type | text |