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arXiv · 2411.18495

On the trace of Coxeter elements

G. Lusztig
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Abstract

Let W be a Weyl group and let w be a Coxeter elememt of minimal length of W. In the early 1970's I.G.Macdonald stated that the trace of w on an irreducible representation of W is 0,1 or -1. In this paper we give a proof of this statement and of an Iwahori-Hecke algebra version of it.

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BibTeXRIS

G. Lusztig. 2024-11-27. On the trace of Coxeter elements. https://arxiv.org/abs/2411.18495

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