On the Ext groups between Weyl modules for GL_n
| dc.creator | Kulkarni, Upendra | |
| dc.date | 2005-05-18 | |
| dc.date.accessioned | 2026-07-07T05:19:58Z | |
| dc.date.available | 2026-07-07T05:19:58Z | |
| dc.description | This paper studies extension groups between certain Weyl modules for the algebraic group GL_n over the integers. Main results include: (1) A complete determination of Ext groups between Weyl modules whose highest weights differ by a single root and (2) Determination of Ext^1 between an exterior power of the defining representation and any Weyl module. The significance of these results for modular representation theory of GL_n is discussed in several Remarks. Notably the first result leads to a calculation of Ext groups between neighboring Weyl modules for GL_n and also recovers the GL_n case of a recent result of Andersen. Some generalities about Ext groups between Weyl modules and a brief overview of known results about these groups are also included. | |
| dc.description | plain TeX, 37 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505370 | |
| dc.identifier | http://arxiv.org/abs/math/0505370 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75225 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05; 20G10 | |
| dc.title | On the Ext groups between Weyl modules for GL_n | |
| dc.type | text |