Twisted loop groups and their affine flag varieties
| dc.creator | Pappas, G. | |
| dc.creator | Rapoport, M. | |
| dc.date | 2006-07-05 | |
| dc.date | 2008-04-24 | |
| dc.date.accessioned | 2026-07-07T09:34:32Z | |
| dc.date.available | 2026-07-07T09:34:32Z | |
| dc.description | We develop a theory of affine flag varieties and of their Schubert varieties for reductive groups over a Laurent power series local field k((t)) with k a perfect field. This can be viewed as a generalization of the theory of affine flag varieties for loop groups to a "twisted case"; a consequence of our results is that our construction also includes the flag varieties for Kac-Moody Lie algebras of affine type. We also give a coherence conjecture on the dimensions of the spaces of global sections of the natural ample line bundles on the partial flag varieties attached to a fixed group over k((t)) and some applications to local models of Shimura varieties. | |
| dc.description | LaTex, 73 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607130 | |
| dc.identifier | http://arxiv.org/abs/math/0607130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159528 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Twisted loop groups and their affine flag varieties | |
| dc.type | text |