Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
Published 2024-01-12Version 1
We use Kostant and Kumar's twisted group ring and its dual to formulate and prove a generalization of Nakada's colored hook formula for any Coxeter groups. For dominant minuscule elements of the Weyl group of a Kac--Moody algebra, this provides another short proof of Nakada's colored hook formula.
On Reflection Representations of Coxeter Groups over Non-Commutative Rings
On involutions in the Weyl group and $B$-orbit closures in the orthogonal case
Rigid reflections and Kac--Moody algebras
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