The equivariant Brauer group of a group
| dc.creator | Caenepeel, S. | |
| dc.creator | Van Oystaeyen, F. | |
| dc.creator | Zhang, Y. H. | |
| dc.date | 2004-08-24 | |
| dc.date.accessioned | 2026-07-07T05:11:32Z | |
| dc.date.available | 2026-07-07T05:11:32Z | |
| dc.description | We consider the Brauer group ${\rm BM}'(k,G)$ of a group $G$ (finite or infinite) over a commutative ring $k$ with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\longrightarrow {\rm BM}'(k,G)\longrightarrow {\rm Gal}(k,G) \longrightarrow 1$$ is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of $G$ to the infinite case of $G$. Here ${\rm Br}'(k)$ is the Brauer-Taylor group of Azumaya algebras (not necessarily with unit). The method developed in this paper might provide a key to computing the equivariant Brauer group of an infinite quantum group. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408334 | |
| dc.identifier | http://arxiv.org/abs/math/0408334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72273 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16A16 | |
| dc.title | The equivariant Brauer group of a group | |
| dc.type | text |