Rectangular low level case of modular branching problem for GL_n(K)
| dc.creator | Shchigolev, Vladimir | |
| dc.date | 2007-03-26 | |
| dc.date | 2009-04-05 | |
| dc.date.accessioned | 2026-07-07T12:59:54Z | |
| dc.date.available | 2026-07-07T12:59:54Z | |
| dc.description | In this paper, we find an explicit combinatorial criterion for the existence of a nonzero GL_{n-1}(K)-high weight vector of weight (λ_1,...,λ_{i-1},λ_i-d,λ_{i+1},..., λ_{n-1}), where d<char K and K is an algebraically closed filed, in the irreducible rational GL_n(K)-module L_n(λ_1,...,λ_n) with highest weight (λ_1,...,λ_n). For this purpose, new modular lowering operators are introduced. | |
| dc.identifier | https://arxiv.org/abs/math/0703758 | |
| dc.identifier | http://arxiv.org/abs/math/0703758 | |
| dc.identifier | Journal of Algebra 321 (2009), no. 1, 28 - 85 | |
| dc.identifier | doi:10.1016/j.jalgebra.2008.08.034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225713 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05 | |
| dc.title | Rectangular low level case of modular branching problem for GL_n(K) | |
| dc.type | text |