Jordan correspondence and block distribution of characters

R. Kessar, G. Malle

Research output: Other contributionpeer-review


We complete the determination of the ℓ-block distribution of characters for quasi-simple exceptional groups of Lie type up to some minor ambiguities relating to non-uniqueness of Jordan decomposition. For this, we first determine the ℓ-block distribution for finite reductive groups whose ambient algebraic group defined in characteristic different from ℓ has connected centre. As a consequence we derive a compatibility between ℓ-blocks, e-Harish-Chandra series and Jordan decomposition. Further we apply our results to complete the proof of Robinson's conjecture on defects of characters.
Original languageEnglish
Publication statusSubmitted - 2023


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