Normalizers of ad-nilpotent ideals
| dc.creator | Panyushev, Dmitri I. | |
| dc.date | 2004-02-09 | |
| dc.date | 2004-05-20 | |
| dc.date.accessioned | 2026-07-07T05:05:17Z | |
| dc.date.available | 2026-07-07T05:05:17Z | |
| dc.description | Let $\be$ be a Borel subalgebra of a complex simple Lie algebra $\g$. An ideal of $\be$ is called ad-nilpotent, if it is contained in $[\be,\be]$. We give several descriptions of the normalizer of an ad-nilpotent ideal: using the weight of an ideal, or the affine Weyl group, or a relationship with dominant regions of the Shi arrangement. We also give a description of those ideals whose normalizer is equal to $\be$. For sl(n) and sp(2n), explicit enumerative results are obtained, which demonstrate a connection with some famous integer sequences. | |
| dc.description | 26 pages; New section 4 is added; References added | |
| dc.identifier | https://arxiv.org/abs/math/0402140 | |
| dc.identifier | http://arxiv.org/abs/math/0402140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70108 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 17B20 | |
| dc.title | Normalizers of ad-nilpotent ideals | |
| dc.type | text |