Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type
Representation Theory
2020-10-30 v1 Algebraic Geometry
Abstract
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 (2004), and of Chan and the second author (2019). Potential applications include the study of unipotent representations arising from such deep level Deligne--Lusztig schemes, as well as their geometry, in the spirit of the work of Lusztig (1976).
Keywords
Cite
@article{arxiv.2010.15489,
title = {Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type},
author = {Olivier Dudas and Alexander B. Ivanov},
journal= {arXiv preprint arXiv:2010.15489},
year = {2020}
}
Comments
22 pages