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arXiv · 2607.10010

Weights and characters for affine Hecke algebras

Maximilien J. Mackie
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Abstract

Weights play an essential role in the classification of simple modules for affine Hecke algebras. In this paper we show the extent to which weights determine simple modules and use this to describe induction and restriction along isogenies. We also describe the behaviour of hermitian duals and unitarity under induction and restriction along isogenies.

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BibTeXRIS

Maximilien J. Mackie. 2026-07-10. Weights and characters for affine Hecke algebras. https://arxiv.org/abs/2607.10010

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