Work

Symmetric spaces over a finite ring

Year: 2026

Type: preprint

Abstract: Deep level Deligne-Lusztig representations, as natural extensions of the classical Deligne-Lusztig representations, have recently seen various applications in the Langlands program. In this note, we address their distinction problem for symmetric pairs over finite fields, yielding a generalization of a classical result by Lusztig.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.17765

Authors: Liu, Ben, Nie, Sian

Institutions: Chinese Academy of Sciences, University of Chinese Academy of Sciences

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7203736284

Cites:

Cited by:

Related to: