Weights for compact connected Lie groups

R. Kessar; G. Malle; J. Semeraro

doi:10.1007/s00229-024-01538-2

Weights for compact connected Lie groups

R. Kessar, G. Malle, J. Semeraro

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let 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.

Original language	English
Pages (from-to)	1059-1073
Number of pages	15
Journal	Manuscripta Mathematica
Volume	174
Issue number	3-4
Early online date	9 Mar 2024
DOIs	https://doi.org/10.1007/s00229-024-01538-2
Publication status	Published - 1 Jul 2024

Keywords

20C20
55R35
57T10

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10.1007/s00229-024-01538-2Licence: CC BY

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Weights for compact connected Lie groups

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Keywords

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