Orthogonality relations for deep level Deligne-Lusztig schemes of Coxeter type

被引：0

作者：

Dudas, Olivier ^{[1
,2
]}

Ivanov, Alexander B. ^{[3
]}

机构：

[1] Univ Paris, F-75006 Paris, France

[2] Sorbonne Univ, IMJ PRG, F-75006 Paris, France

[3] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

FORUM OF MATHEMATICS SIGMA | 2024年 / 12卷

关键词：

20G05; 20G25; 20G40; REPRESENTATIONS;

D O I：

10.1017/fms.2024.55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some orthogonality relations for representations arising from deep level Deligne-Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b]. Applications include the study of smooth representations of p-adic groups in the cohomology of p-adic Deligne-Lusztig spaces and their relation to the local Langlands correspondences. Also, the geometry of deep level Deligne-Lusztig schemes gets accessible, in the spirit of Lusztig's work [Lus76].

引用

页数：27