Hook modules for general linear groups
| dc.creator | Doty, Stephen | |
| dc.creator | Martin, Stuart | |
| dc.date | 2007-08-22 | |
| dc.date | 2008-03-11 | |
| dc.date.accessioned | 2026-07-07T09:25:44Z | |
| dc.date.available | 2026-07-07T09:25:44Z | |
| dc.description | For an arbitrary infinite field k of characteristic p > 0, we describe the structure of a block of the algebraic monoid M_n(k) (all n x n matrices over k), or, equivalently, a block of the Schur algebra S(n,p), whose simple modules are indexed by p-hook partitions. The result is known; we give an elementary and self-contained proof, based only on a result of Peel and Donkin's description of the blocks of Schur algebras. The result leads to a character formula for certain simple GL_n(k)-modules, valid for all n and all p. This character formula is a special case of one found by Brundan, Kleshchev, and Suprunenko and, independently, by Mathieu and Papadopoulo. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0708.2941 | |
| dc.identifier | http://arxiv.org/abs/0708.2941 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156504 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.title | Hook modules for general linear groups | |
| dc.type | text |