Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group
Representation Theory
2025-05-28 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.2402.12064,
title = {Multiplicity-free representations of the principal A1-subgroup in a simple algebraic group},
author = {Aluna Rizzoli and Donna Testerman},
journal= {arXiv preprint arXiv:2402.12064},
year = {2025}
}
Comments
Accepted version, 49 pages