On Discrete Zariski-Dense Subgroups of Algebraic Groups
✍ Scribed by Jörg Winkelmann
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 966 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
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 ;
We introduce the notion of a multiplicity-free subgroup of a reductive algebraic group in arbitrary characteristic. This concept already exists in the work of Kramer for compact connected Lie groups. We give a classification of reductive multiplicity-free subgroups, and as a consequence obtain a sim