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arXiv · 2506.14584

Character sheaves on loop Lie algebras: polar partition

Ngo Bao Chau·Zhiwei Yun
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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.

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Ngo Bao Chau, Zhiwei Yun. 2025-06-17. Character sheaves on loop Lie algebras: polar partition. https://arxiv.org/abs/2506.14584

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