Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2)
| dc.creator | Doty, Stephen | |
| dc.creator | Giaquinto, Anthony | |
| dc.date | 2000-10-01 | |
| dc.date.accessioned | 2026-07-07T04:37:46Z | |
| dc.date.available | 2026-07-07T04:37:46Z | |
| dc.description | We give a presentation of Schur algebras (over the rational number field) by generators and relations, in fact a presentation which is compatible with Serre's presentation of the universal enveloping algebra of a simple Lie algebra. In the process we find a new basis for Schur algebras, a truncated form of the usual PBW basis. We also locate the integral Schur algebra within the presented algebra as the analogue of Kostant's Z-form, and show that it has an integral basis which is a truncated version of Kostant's basis. | |
| dc.description | 22 pages; submitted to Algebras and Representation Theory | |
| dc.identifier | https://arxiv.org/abs/math/0010005 | |
| dc.identifier | http://arxiv.org/abs/math/0010005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60022 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S30; 16P10 | |
| dc.title | Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2) | |
| dc.type | text |