A generalization of the orthogonality relations of Green functions
type: Item
instance of: scholarly article
title: A generalization of the orthogonality relations of Green functions
zbMATH Open document ID: 0818.20013
DOI: 10.1007/BF01231574
author: Tonny A. Springer
published in: Inventiones Mathematicae
publication date: 1995-08-20T00:00:00Z
full work available at URL: https://eudml.org/doc/144201
review text: Let \(G\) be a reductive algebraic group \(G\) with an automorphism \({\mathfrak o}\) of order 2 over a finite field \(\mathbb{F}_ q\) and \({\mathfrak p}\) be the \(+1\)-eigenspace of \({\mathfrak o}\) in the Lie algebra. The author determines (under some mild restrictions) the sum of a Deligne-Lusztig character over the rational points of the global analogue of \({\mathfrak p}\).
reviewed by: Chiu Sen
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 554030
zbMATH Keywords: Green functions
zbMATH Keywords: automorphism of order 2
zbMATH Keywords: reductive algebraic groups
zbMATH Keywords: Deligne-Lusztig characters
zbMATH Keywords: rational points
MaRDI profile type: Publication
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OpenAlex ID: W2058747770
description: scientific article; zbMATH DE number 554030