Character sheaves on loop Lie algebras: polar partition

Fuente: arXiv
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Auteurs principaux: Chau, Ngo Bao, Yun, Zhiwei
Format: Preprint
Publié: 2025
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author Chau, Ngo Bao
Yun, Zhiwei
author_facet Chau, Ngo Bao
Yun, Zhiwei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14584
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Character sheaves on loop Lie algebras: polar partition
Chau, Ngo Bao
Yun, Zhiwei
Representation Theory
Number Theory
22E67, 22E50, 14F08
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.
title Character sheaves on loop Lie algebras: polar partition
topic Representation Theory
Number Theory
22E67, 22E50, 14F08
url https://arxiv.org/abs/2506.14584