Weights and characters for affine Hecke algebras

Maximilien J. Mackie

Weights and characters for affine Hecke algebras

Representation Theory 2026-07-10 v1

Authors: Maximilien J. Mackie

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.

Keywords

affine Hecke algebra weights simple modules isogeny induction restriction hermitian dual unitarity

Cite

@article{arxiv.2607.10010,
  title  = {Weights and characters for affine Hecke algebras},
  author = {Maximilien J. Mackie},
  journal= {arXiv preprint arXiv:2607.10010},
  year   = {2026}
}

Comments

19 pages