Weights for compact connected Lie groups
journal contribution
posted on 2025-06-12, 07:46 authored by Radha Kessar, Gunter Malle, Jason SemeraroJason SemeraroLet ℓ be a prime. If G is a compact connected Lie group, or a connected reductive algebraic group in characteristic different from ℓ, and ℓ is a good prime for G, we show that the number of weights of the ℓ-fusion system of G is equal to the number of irreducible characters of its Weyl group. The proof relies on the classification of ℓ-stubborn subgroups in compact Lie groups.
Funding
DFG–Project-ID 286237555TRR 195
History
School
- Science
Published in
Manuscripta MathematicaVolume
174Issue
3Pages
1059 - 1073Publisher
Springer NatureVersion
- VoR (Version of Record)
Rights holder
©The Author(s)Publisher statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.Acceptance date
2024-01-26Publication date
2024-03-09Copyright date
2024ISSN
0025-2611eISSN
1432-1785Publisher version
Language
- en
