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Jordan subgroups of simple algebraic groups

✍ Scribed by A. V. Borovik

Publisher
Springer US
Year
1989
Tongue
English
Weight
886 KB
Volume
28
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

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✍ Richard Pink πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 497 KB

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 ;

Multiplicity-Free Subgroups of Reductive
Multiplicity-Free Subgroups of Reductive Algebraic Groups
✍ Jonathan Brundan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 243 KB

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