Abstract
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.
Citation
Leonardo C. Mihalcea. Hiroshi Naruse. Changjian Su. "Hook formula for Coxeter groups via the twisted group ring." Proc. Japan Acad. Ser. A Math. Sci. 100 (6) 31 - 36, June 2024. https://doi.org/10.3792/pjaa.100.007
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