Simple SL(n)-Modules with Normal Closures of Maximal Torus Orbits
| dc.creator | Kuyumzhiyan, K. | |
| dc.date | 2008-06-12 | |
| dc.date.accessioned | 2026-07-07T09:44:08Z | |
| dc.date.available | 2026-07-07T09:44:08Z | |
| dc.description | Let $T$ be the subgroup of diagonal matrices in the group SL(n). The aim of this paper is to find all finite-dimensional simple rational SL(n)-modules $V$ with the following property: for each point $v\in V$ the closure $\bar{Tv}$ of its $T$-orbit is a normal affine variety. Moreover, for any SL(n)-module without this property a $T$-orbit with non-normal closure is constructed. The proof is purely combinatorial: it deals with the set of weights of simple SL(n)-modules. The saturation property is checked for each subset in the set of weights. | |
| dc.identifier | https://arxiv.org/abs/0806.1981 | |
| dc.identifier | http://arxiv.org/abs/0806.1981 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162765 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 14R20; 14M25; 05E15 | |
| dc.title | Simple SL(n)-Modules with Normal Closures of Maximal Torus Orbits | |
| dc.type | text |