Chern classes for representations of reductive groups
| dc.creator | Beauville, Arnaud | |
| dc.date | 2001-04-03 | |
| dc.date.accessioned | 2026-07-07T04:40:57Z | |
| dc.date.available | 2026-07-07T04:40:57Z | |
| dc.description | Let G be a complex connected reductive group. The representation ring R(G) admits a canonical filtration defined in terms of the lambda-structure. We compute the associated graded ring gr R(G) (over Q) and the Chern classes of a representation -- an easy exercise which we have been unable to find in the literature. As an application we give a simple definition of the characteristic classes of a principal bundle P --> B in gr K(B), and a simple way of computing the Chern classes of the associated vector bundles. | |
| dc.description | 7 pages, Plain TeX | |
| dc.identifier | https://arxiv.org/abs/math/0104031 | |
| dc.identifier | http://arxiv.org/abs/math/0104031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61216 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Chern classes for representations of reductive groups | |
| dc.type | text |