Fourier transforms of nilpotently supported invariant functions on a finite simple Lie algebra
type: Item
instance of: scholarly article
title: Fourier transforms of nilpotently supported invariant functions on a finite simple Lie algebra
zbMATH Open document ID: 0503.20016
published in: Proceedings of the Japan Academy. Series A
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 17B45
Mathematics Subject Classification ID: 43A32
Mathematics Subject Classification ID: 20F40
zbMATH DE Number: 3792429
zbMATH Keywords: connected simple algebraic group
zbMATH Keywords: duality
zbMATH Keywords: class functions
zbMATH Keywords: irreducible characters
zbMATH Keywords: Ad-invariant functions
zbMATH Keywords: nilpotent cone
zbMATH Keywords: Fourier transform
author: Noriaki Kawanaka
MaRDI profile type: Publication
full work available at URL: pjaa.57.461
OpenAlex ID: W2045400074
Wikidata QID: Q115219975
cites work: Q3898650
cites work: Truncation and duality in the character ring of a finite group of Lie type
cites work: Duality for representations of a reductive group over a finite field
cites work: Semisimple subalgebras of semisimple Lie algebras
cites work: Unipotent elements and characters of finite Chevalley groups
cites work: The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
cites work: Trigonometric sums, Green functions of finite groups and representations of Weyl groups
cites work: The Steinberg function of a finite Lie algebra
cites work: Q5662587
DOI: 10.3792/PJAA.57.461
description: scientific article; zbMATH DE number 3792429