Cocycle Deformations and Brauer Group Isomorphisms
| dc.creator | Chen, Huixiang | |
| dc.creator | Zhang, Yinhuo | |
| dc.date | 2005-04-30 | |
| dc.date.accessioned | 2026-07-07T06:24:27Z | |
| dc.date.available | 2026-07-07T06:24:27Z | |
| dc.description | Let $H$ be a Hopf algebra over a commutative ring $k$ with unity and $σ:H\otimes H\longrightarrow k$ be a cocycle on $H$. In this paper, we show that the Yetter-Drinfeld module category of the cocycle deformation Hopf algebra $H^σ$ is equivalent to the Yetter-Drinfeld module category of $H$. As a result of the equivalence, the "quantum Brauer" group BQ$(k,H)$ is isomorphic to BQ$(k,H^σ)$. Moreover, the group $\Gal(\HR)$ constructed in \cite{Z} is studied under a cocycle deformation. | |
| dc.description | 33 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0505003 | |
| dc.identifier | http://arxiv.org/abs/math/0505003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96549 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 16A16 | |
| dc.title | Cocycle Deformations and Brauer Group Isomorphisms | |
| dc.type | text |