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The analysis extends unitriangular characteristics of decomposition matrices in unipotent blocks, indicating implications for ℓ–bad characteristics.
In 2020, Brunat–Dudas–Taylor showed that the decomposition matrix of unipotent ℓ-blocks of a finite 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 defined by Chaneb.
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M.P. Roth (2025) studied this question.
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