UNITRIANGULARITY OF DECOMPOSITION MATRICES OF THE UNIPOTENT ℓ-BLOCKS FOR SIMPLE ADJOINT EXCEPTIONAL GROUPS - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2024

UNITRIANGULARITY OF DECOMPOSITION MATRICES OF THE UNIPOTENT ℓ-BLOCKS FOR SIMPLE ADJOINT EXCEPTIONAL GROUPS

Abstract

In 2020, BrunatDudasTaylor showed that the decomposition matrix of unipotent ℓ-blocks of a nite reductive group in good characteristic has unitriangular shape, under some conditions on the prime ℓ, in particular ℓ being good. We extend this result to ℓ bad by adapting their proof to include the ℓ-special classes dened by Chaneb.
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Dates and versions

hal-04474518 , version 1 (23-02-2024)

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Marie Roth. UNITRIANGULARITY OF DECOMPOSITION MATRICES OF THE UNIPOTENT ℓ-BLOCKS FOR SIMPLE ADJOINT EXCEPTIONAL GROUPS. 2024. ⟨hal-04474518⟩
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