The general problem underlying this article is to give a qualitative classification Ž . of all compact subgroups ⌫ ; GL F , where F is a local field and n is arbitrary. It is natural to ask whether ⌫ is an open compact subgroup of H E , where H is a linear algebraic group over a closed subfield E ;
On the modality of parabolic subgroups of linear algebraic groups
✍ Scribed by Gerhard Röhrle
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 82 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
Let p be a prime number and let A be an elementary abelian p-group of rank m. The purpose of this paper is to determine a full system for the invariants of Ž . Ž . parabolic subgroups of the general linear group GL m, ކ in H \* A, ކ . A p p relation between these invariants and Dickson ones is a
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a "matrix problem." Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in sm