Cohomology of Flag Varieties and the Brylinski-Kostant Filtration
| dc.creator | Hague, Chuck | |
| dc.date | 2008-03-24 | |
| dc.date | 2009-04-01 | |
| dc.date.accessioned | 2026-07-07T12:58:18Z | |
| dc.date.available | 2026-07-07T12:58:18Z | |
| dc.description | Let G be a semisimple complex algebraic group with Borel subgroup B and let P be a parabolic subgroup of G. Let T*(G/P) denote the cotangent bundle of G/P. Ranee Brylinski discovered a connection between cohomology of G-equivariant line bundles on T*(G/B) and the so-called Brylinski-Kostant filtration, which describes the action of principal sl_2 triples on G-representations. In this paper we generalize these results to a larger class of sl_2 triples. Along the way we also obtain generalizations of results due to Broer on cohomology of G-equivariant bundles on T*(G/P) for various parabolics P. | |
| dc.description | To appear in J. Algebra. A number of typos fixed; strengthened version of Theorem 4.15 due to anonymous referee | |
| dc.identifier | https://arxiv.org/abs/0803.3424 | |
| dc.identifier | http://arxiv.org/abs/0803.3424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225200 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Cohomology of Flag Varieties and the Brylinski-Kostant Filtration | |
| dc.type | text |