Bruhat order for two subspaces and a flag
| dc.creator | Smirnov, Evgeny | |
| dc.date | 2007-04-23 | |
| dc.date.accessioned | 2026-07-07T07:57:52Z | |
| dc.date.available | 2026-07-07T07:57:52Z | |
| dc.description | The classical Ehresmann-Bruhat order describes the possible degenerations of a pair of flags in a finite-dimensional vector space V; or, equivalently, the closure of an orbit of the group GL(V) acting on the direct product of two full flag varieties. We obtain a similar result for triples consisting of two subspaces and a partial flag in V; this is equivalent to describing the closure of a GL(V)-orbit in the product of two Grassmannians and one flag variety. We give a rank criterion to check whether such a triple can be degenerated to another one, and we classify the minimal degenerations. Our methods involve only elementary linear algebra and combinatorics of graphs (originating in Auslander-Reiten quivers). | |
| dc.description | 30 pages, with figures | |
| dc.identifier | https://arxiv.org/abs/0704.3061 | |
| dc.identifier | http://arxiv.org/abs/0704.3061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127803 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 14L35; 16G70 | |
| dc.title | Bruhat order for two subspaces and a flag | |
| dc.type | text |