Endomorphism rings of permutation modules over maximal Young subgroups
| dc.creator | Doty, Stephen | |
| dc.creator | Erdmann, Karin | |
| dc.creator | Henke, Anne | |
| dc.date | 2006-01-07 | |
| dc.date | 2006-02-01 | |
| dc.date.accessioned | 2026-07-07T06:58:36Z | |
| dc.date.available | 2026-07-07T06:58:36Z | |
| dc.description | Let $K$ be a field of characteristic two, and let $λ$ be a two-part partition of some natural number $r$. Denote the permutation module corresponding to the (maximal) Young subgroup $Σ_λ$ in $Σ_r$ by $M^λ$. We construct a full set of orthogonal primitive idempotents of the centraliser subalgebra $S_K(λ) = 1_λS_K(2,r) 1_λ= End_{KΣ_r}(M^λ)$ of the Schur algebra $S_K(2,r)$. These idempotents are naturally in one-to-one correspondence with the 2-Kostka numbers. | |
| dc.description | 18 pages. To appear in J. of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0601134 | |
| dc.identifier | http://arxiv.org/abs/math/0601134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107422 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 16K20 | |
| dc.title | Endomorphism rings of permutation modules over maximal Young subgroups | |
| dc.type | text |