Biproducts and Two-Cocycle Twists of Hopf Algebras
| dc.creator | Radford, David E. | |
| dc.creator | Schneider, Hans-Jürgen | |
| dc.date | 2006-03-11 | |
| dc.date.accessioned | 2026-07-07T07:06:47Z | |
| dc.date.available | 2026-07-07T07:06:47Z | |
| dc.description | Let $H$ be a Hopf algebra with bijective antipode over a field $k$ and suppose that $R{#}H$ is a bi-product. Then $R$ is a bialgebra in the Yetter--Drinfel'd category ${}_H^H{\mathcal YD}$. We describe the bialgebras $(R{#}H)^{op}$ and $(R{#}H)^o$ explicitly as bi-products $R^{\UOP}{#}H^{op}$ and $R^{\UO}{#}H^o$ respectively where $R^{\UOP}$ is a bialgebra in ${}^{H^{op}}_{H^{op}}{\mathcal YD}$ and $R^{\UO}$ is a bialgebra in ${}^{H^o}_{H^o}{\mathcal YD}$. We use our results to describe two-cocycle twist bialgebra structures on the tensor product of bi-products. | |
| dc.description | amstex, 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603267 | |
| dc.identifier | http://arxiv.org/abs/math/0603267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110152 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30,17B37, 17B10 | |
| dc.title | Biproducts and Two-Cocycle Twists of Hopf Algebras | |
| dc.type | text |