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.
Characters of normalisers of d-split Levi subgroups in Sp2n(q)
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abstract
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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Generic weights for finite reductive groups
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.