PreprintarXiv licencearXiv
Unipotent representations and the categorical trace of Frobenius
Abstract
We give a new proof of the classification of unipotent representations for split finite groups of Lie type. To do this, we first construct an (infinity, 2)-categorification of Lusztig's map from the Hecke algebra to the asymptotic algebra. Then we use the theory of weights to show that it induces an isomorphism after applying trace of Frobenius.
Related
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- Maximal Unipotent Monodromy and p-adic Eigenvalue Formulas
BibTeX
@misc{reeves2026unipotent,
title = {{Unipotent representations and the categorical trace of Frobenius}},
author = {Wyatt Reeves},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39721},
eprint = {2609.39721},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39721},
}
RIS
TY - UNPB
TI - Unipotent representations and the categorical trace of Frobenius
AU - Wyatt Reeves
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2609.39721
UR - https://arxiv.org/abs/2609.39721
AB - We give a new proof of the classification of unipotent representations for split finite groups of Lie type. To do this, we first construct an (infinity, 2)-categorification of Lusztig's map from the Hecke algebra to the asymptotic algebra. Then we use the theory of weights to show that it induces an isomorphism after applying trace of Frobenius.
ER -