Determining whether certain affine Deligne-Lusztig sets are empty
| dc.creator | Reuman, Daniel C. | |
| dc.date | 2002-11-27 | |
| dc.date.accessioned | 2026-07-07T04:53:21Z | |
| dc.date.available | 2026-07-07T04:53:21Z | |
| dc.description | Let F be a non-archimedean local field, let L be the maximal unramified extension of F, and let fr be the Frobenius automorphism. Let G be a split connected reductive group over F, and let B(1) be the Bruhat-Tits building associated to G(F). We know that fr acts on G(L) with fixed points G(F). Let I be the Iwahori associated to a chamber in B(1). We have the relative position map, inv, from G(L)/I x G(L)/I to the extended affine Weyl group, W_e of G. If w is in W_e and b is in G(L), then the affine Deligne-Lusztig set Xw(b fr) is {x in G(L)/I : inv(x,b fr(x)) = w}. This paper answers the question of which Xw(b fr) are non-empty for certain G and b. | |
| dc.description | 135 pages, 112 figures | |
| dc.identifier | https://arxiv.org/abs/math/0211434 | |
| dc.identifier | http://arxiv.org/abs/math/0211434 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65815 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G25 | |
| dc.title | Determining whether certain affine Deligne-Lusztig sets are empty | |
| dc.type | text |