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math.RT2018
Cylindric multipartitions and level-rank duality
Thomas Gerber
We show that a multipartition is cylindric if and only if its level rank-dual is a source in the corresponding affine type crystal. This provides an algebraic interpretation of…
math.RT2018
Generalized Mullineux involution and perverse equivalences
Thomas Gerber, Nicolas Jacon, Emily Norton
We define a generalization of the Mullineux involution on multipartitions using the theory of crystals for higher level Fock spaces. Our generalized Mullineux involution turns up i…
math.RT2015★ 2 cited
Branching graphs for finite unitary groups in non-defining characteristic
Thomas Gerber, Gerhard Hiss
We show that the modular branching rule (in the sense of Harish-Chandra) on unipotent modules for finite unitary groups is piecewise described by particular connected components of…