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arXiv · 2402.12064

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

Aluna Rizzoli·Donna Testerman
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Abstract

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.

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BibTeXRIS

Aluna Rizzoli, Donna Testerman. 2024-02-19. Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group. https://doi.org/10.2140/pjm.2025.336.433

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