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Characters of normalisers of d-split Levi subgroups in Sp2n(q)

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arxiv 2203.06072 v1 pith:3WCDWRCH submitted 2022-03-11 math.RT

Julian Brough This is my paper · ORCID
classification math.RT
keywords levicharactersd-splitnormalisersp2nsubgroupsalperin-mckayauthor
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In this paper characters of the normaliser of d-split Levi subgroups in Sp2n(q) are parametrised with a particular focus on the Clifford theory between the Levi subgroup and its normaliser. This forms a key step in verifying the inductive Alperin-McKay condition from Sp\"ath via a criterion given by Sp\"ath and the author.

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  1. Generic weights for finite reductive groups

    math.RT 2025-05 conditional novelty 7.0 of 10

    The paper introduces generic weights for finite reductive groups and proves they are bijective to ordinary Alperin weights under standard hypotheses, offering a new route to the inductive Alperin weight condition.

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