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Multiplicity-Free Subgroups of Reductive Algebraic Groups

✍ Scribed by Jonathan Brundan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
243 KB
Volume
188
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 simple proof of a theorem of Kleshchev.

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