Steinberg modules and Donkin pairs
| dc.creator | van der Kallen, Wilberd | |
| dc.date | 1999-08-06 | |
| dc.date | 1999-09-15 | |
| dc.date.accessioned | 2026-07-07T06:29:57Z | |
| dc.date.available | 2026-07-07T06:29:57Z | |
| dc.description | We prove that in positive characteristic a module with good filtration for a group of type E6 restricts to a module with good filtration for a subgroup of type F4. (Recall that a filtration of a module for a semisimple algebraic group is called good if its layers are dual Weyl modules.) Our result confirms a conjecture of Brundan for one more case. The method relies on the canonical Frobenius splittings of Mathieu. Next we settle the remaining cases, in characteristic not 2, with a computer-aided variation on the old method of Donkin. | |
| dc.description | 16 pages; proof of Brundan's conjecture added | |
| dc.identifier | https://arxiv.org/abs/math/9908026 | |
| dc.identifier | http://arxiv.org/abs/math/9908026 | |
| dc.identifier | Transformation Groups, Vol. 6, No. 1, 2001, pp. 87-98 | |
| dc.identifier | doi:10.1007/BF01236064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98223 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05 | |
| dc.title | Steinberg modules and Donkin pairs | |
| dc.type | text |