Work

Enhanced Langlands Parameters of Regular Principal Series

Year: 2026

Type: preprint

Abstract: We describe the enhanced Langlands parameters of the irreducible constituents of a regular principal series of a quasi-split reductive group over a non-archimedean local field of characteristic zero. Starting from the chamber parametrization by Rodier and Luo, we determine the monodromy of each constituent and show that its enhancement is trivial. In particular, we obtain the corresponding parameter of the unique irreducible subrepresentation.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.29471

Authors: Li, Haoming, Yang, Xiaohang, Zhang, Jizhi, Zhao, Yelei

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Chinese Academy of Sciences, Peking University

OpenAlex ID: W7223239479

Cites: 15

Cited by:

Related to: 10