On varieties in an orbital variety closure in semisimple Lie algebra
| dc.creator | melnikov, anna | |
| dc.date | 2004-09-23 | |
| dc.date.accessioned | 2026-07-07T07:37:39Z | |
| dc.date.available | 2026-07-07T07:37:39Z | |
| dc.description | Let g be a semisimple complex Lie algebra. Let O be a nilpotent orbit in g. Fix a triangular decomposition g=n+h+n^-. An irreducible component of the intersection of O and n is called an orbital variety associated to O. It is a Lagrangian subvariety of O. In this note we discuss the closure of an orbital variety as a union of varieties. We show that if g contains factors not of type A_n then there are orbital varieties whose closure contains components which are not Lagrangian. We show that the argument does not work if all the factors are of type A_n and provide the facts supporting the conjecture claiming that if all the factors of g are of type A_n then the closure of an orbital variety is a union of orbital varieties. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409445 | |
| dc.identifier | http://arxiv.org/abs/math/0409445 | |
| dc.identifier | Journal of Algebra, 295, 2006, pp.44-50 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120848 | |
| dc.subject | Representation Theory | |
| dc.title | On varieties in an orbital variety closure in semisimple Lie algebra | |
| dc.type | text |