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.
No takes yet. Share an insight, caveat, or question.
Mihalcea et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: