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arXiv:2402.12064 [math.RT]AbstractReferencesReviewsResources

Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group

Aluna Rizzoli, Donna Testerman

Published 2024-02-19, updated 2024-11-27Version 2

Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p>0. Here we classify all irreducible kG-modules for which the principal A1 has no repeated composition factors, extending the work of Liebeck-Seitz-Testerman which treated the same question when k is replaced by an algebraically closed field of characteristic zero.

Comments: Accepted version, 49 pages
Categories: math.RT, math.GR
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