Foulkes characters for complex reflection groups

Miller, Alexander

doi:10.1090/S0002-9939-2015-12385-4

Foulkes characters for complex reflection groups
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by Alexander R. Miller PDF

Proc. Amer. Math. Soc. 143 (2015), 3281-3293 Request permission

Abstract:

We investigate Foulkes characters for a wide class of reflection groups which contains all finite Coxeter groups. In addition to new results, our general approach unifies, explains, and extends previously known (type A) results due to Foulkes, Kerber–Thürlings, Diaconis–Fulman, and Isaacs.

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