Specht filtrations and tensor spaces for the Brauer algebra
| dc.creator | Hu, Jun | |
| dc.date | 2006-04-26 | |
| dc.date | 2006-12-22 | |
| dc.date.accessioned | 2026-07-07T07:36:49Z | |
| dc.date.available | 2026-07-07T07:36:49Z | |
| dc.description | Let $m, n\in{\mathbb N}$. In this paper we study the right permutation action of the symmetric group ${\mathfrak S}_{2n}$ on the set of all the Brauer $n$-diagrams. A new basis for the free ${\mathbb Z}$-module ${\mathfrak B}_n$ spanned by these Brauer $n$-diagrams is constructed, which yields Specht filtrations for ${\mathfrak B}_n$. For any $2m$-dimensional vector space $V$ over a field of arbitrary characteristic, we give an explicit and characteristic free description of the annihilator of the $n$-tensor space $V^{\otimes n}$ in the Brauer algebra ${\mathfrak B}_n(-2m)$. In particular, we show that it is a ${\mathfrak S}_{2n}$-submodule of ${\mathfrak B}_n(-2m)$. | |
| dc.identifier | https://arxiv.org/abs/math/0604577 | |
| dc.identifier | http://arxiv.org/abs/math/0604577 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120560 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20G05; 20C20 | |
| dc.title | Specht filtrations and tensor spaces for the Brauer algebra | |
| dc.type | text |