Spherical conjugacy classes and involutions in the Weyl group
| dc.creator | Carnovale, Giovanna | |
| dc.date | 2006-12-14 | |
| dc.date | 2007-01-11 | |
| dc.date.accessioned | 2026-07-07T07:39:48Z | |
| dc.date.available | 2026-07-07T07:39:48Z | |
| dc.description | Let G be a simple algebraic group over an algebraically closed field of characteristic zero or positive odd, good characteristic. Let B be a Borel subgroup of G. We show that the spherical conjugacy classes of G intersect only the double cosets of B in G corresponding to involutions in the Weyl group of G. This result is used to prove that for a spherical conjugacy class O with dense B-orbit v_0 contained in BwB there holds l(w)+rk(1-w)=dim(O) extending a characterization of spherical conjugacy classes obtained by N. Cantarini, M. Costantini and the author to the case of groups over fields of odd, good characteristic. | |
| dc.description | Lemma 3.8 had an incorrect proof and it is removed without effecting the main results of the paper. One reference is added | |
| dc.identifier | https://arxiv.org/abs/math/0612408 | |
| dc.identifier | http://arxiv.org/abs/math/0612408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121587 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 20G15; 14M15 | |
| dc.title | Spherical conjugacy classes and involutions in the Weyl group | |
| dc.type | text |