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arXiv · 2412.00540

The character values of Iwahori--Hecke algebras on Coxeter basis elements

Meinolf Geck
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Abstract

These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements. Our notes include explicit tables for those traces. The proofs rely on a connection with Lusztig's work on Coxeter orbits and eigenspaces of Frobenius, which may be of independent interest.

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BibTeXRIS

Meinolf Geck. 2024-11-30. The character values of Iwahori--Hecke algebras on Coxeter basis elements. https://arxiv.org/abs/2412.00540

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