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Weights and characters for affine Hecke algebras
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 relate this to induction and restriction along isogenies. We also describe the behaviour of hermitian duals and unitarity under induction and restriction along isogenies.
Related
- Jantzen filtrations for graded affine Hecke algebras
- Double affine Frobenius Hecke algebras
- Distribution of central values of Hecke L-functions of n-th order characters
- Euler systems for self-dual Hecke characters over biquadratic fields with applications
- Tensor product degenerate spin affine Hecke superalgebras
BibTeX
@misc{mackie2026weights,
title = {{Weights and characters for affine Hecke algebras}},
author = {Maximilien J. Mackie},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.10010},
eprint = {2607.10010},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.10010},
}
RIS
TY - UNPB
TI - Weights and characters for affine Hecke algebras
AU - Maximilien J. Mackie
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2607.10010
UR - https://arxiv.org/abs/2607.10010
AB - 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 relate this to induction and restriction along isogenies. We also describe the behaviour of hermitian duals and unitarity under induction and restriction along isogenies.
ER -