Hopf Galois Extension in Braided Tensor Categories
| dc.creator | Zhang, Shouchuan | |
| dc.creator | Zhang, Yao-Zhong | |
| dc.date | 2003-09-27 | |
| dc.date | 2006-04-19 | |
| dc.date.accessioned | 2026-07-07T06:35:44Z | |
| dc.date.available | 2026-07-07T06:35:44Z | |
| dc.description | The relation between crossed product and $H$-Galois extension in braided tensor category ${\cal C}$ with equivalisers and coequivalisers is established. That is, it is shown that if there exist an equivaliser and a coequivaliser for any two morphisms in ${\cal C}$, then $A = B #_σH$ is a crossed product algebra if and only if the extension $A/B$ is Galois, the canonical epic $q: A\otimes A \to A\otimes_B A$ is split and $A$ is isomorphic as left $B$-modules and right $H$-comodules to $B\otimes H$ in ${\cal C}$. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309448 | |
| dc.identifier | http://arxiv.org/abs/math/0309448 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99881 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16A30 | |
| dc.title | Hopf Galois Extension in Braided Tensor Categories | |
| dc.type | text |