Ad-Nilpotent Ideals of a Parabolic Subalgebra
| dc.creator | Righi, Céline | |
| dc.date | 2007-01-24 | |
| dc.date | 2007-11-05 | |
| dc.date.accessioned | 2026-07-07T08:40:20Z | |
| dc.date.available | 2026-07-07T08:40:20Z | |
| dc.description | We extend the results of Cellini-Papi on the characterizations of nilpotent and abelian ideals of a Borel subalgebra to parabolic subalgebras of a simple Lie algebra. These characterizations are given in terms of elements of the affine Weyl group and faces of alcoves. In the case of a parabolic subalgebra of a classical Lie algebra, we give formulas for the number of these ideals. | |
| dc.description | Proof of 4.1 corrected and generalized to all types. Further references and remarks added | |
| dc.identifier | https://arxiv.org/abs/math/0701679 | |
| dc.identifier | http://arxiv.org/abs/math/0701679 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141342 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B20 | |
| dc.title | Ad-Nilpotent Ideals of a Parabolic Subalgebra | |
| dc.type | text |