Character sheaves on loop Lie algebras: polar partition
Representation Theory
2025-06-18 v1 Number Theory
Abstract
In this paper we propose a partition of loop Lie algebras into invariant sets parametrized by polar data. Our polar partition is motivated by J-K. Yu's construction of supercuspidal representations and leads to a conjectural construction of character sheaves on loop Lie algebras.
Cite
@article{arxiv.2506.14584,
title = {Character sheaves on loop Lie algebras: polar partition},
author = {Ngo Bao Chau and Zhiwei Yun},
journal= {arXiv preprint arXiv:2506.14584},
year = {2025}
}
Comments
Dedicated to G.Laumon