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arXiv · 2607.00515

Harish-Chandra theories, Ennola $d$-ality and Rouquier blocks for spetses

Gunter Malle
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Abstract

It has been shown that the theory of unipotent characters of finite reductive groups admits a generalisation to objects whose Weyl group is a spetsial complex reflection group, called spetses. In this paper we prove several natural properties satisfied by the unipotent characters of spetses, in particular the validity of all Harish-Chandra theories as well as the existence of Ennola $d$-alities for all integers $d$, Alvis--Curtis duality, and compatibility with Rouquier blocks of relative Hecke algebras.

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BibTeXRIS

Gunter Malle. 2026-07-01. Harish-Chandra theories, Ennola $d$-ality and Rouquier blocks for spetses. https://arxiv.org/abs/2607.00515

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