Weyl submodules in restrictions of simple modules
| dc.creator | Shchigolev, Vladimir | |
| dc.date | 2009-04-05 | |
| dc.date.accessioned | 2026-07-07T13:00:44Z | |
| dc.date.available | 2026-07-07T13:00:44Z | |
| dc.description | Let F be an algebraically closed field of characteristic p>0. Suppose that SL_{n-1}(F) is naturally embedded into SL_n(F) (either in the top left corner or in the bottom right corner). We prove that certain Weyl modules over SL_{n-1}(F) can be embedded into the restriction L(ω)\downarrow_{SL_{n-1}(F)}, where L(ω) is a simple SL_n(F)-module. This allows us to construct new primitive vectors in L(ω)\downarrow_{\SL_{n-1}(F)} from any primitive vectors in the corresponding Weyl modules. Some examples are given to show that this result actually works. | |
| dc.identifier | https://arxiv.org/abs/0904.0787 | |
| dc.identifier | http://arxiv.org/abs/0904.0787 | |
| dc.identifier | Journal of Algebra 321 (2009), no. 5, 1453 -1462 | |
| dc.identifier | doi:10.1016/j.jalgebra.2008.11.034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225928 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05 | |
| dc.title | Weyl submodules in restrictions of simple modules | |
| dc.type | text |