A limit formula for elliptic orbital integrals
type: Item
instance of: scholarly article
title: A limit formula for elliptic orbital integrals
zbMATH Open document ID: 1010.22022
DOI: 10.1215/S0012-7094-02-11325-8
author: Mladen Božičević
published in: Duke Mathematical Journal
publication date: 2002-10-27T00:00:00Z
review text: The computation of the canonical measure on a nilpotent orbit (through differentiation of the canonical measures on the semisimple orbits) is strictly related to Fourier inversion of the nilpotent orbital integrals. The so-called limit formulas arise in this way. Since the work of Harish-Chandra on the Plancherel formula, the problem of computing the nilpotent measures was intensively studied. The aim of the present paper is to find a limit formula for the class of nilpotent orbits that arise as the leading orbits in the wave-front set of an \(A_q (\lambda)\)-module. The author establishes a limit formula for the computation of the canonical measure on a nilpotent orbit by means of differentiation of the canonical measures on elliptic orbits.
reviewed by: Sergio Console
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 1820909
zbMATH Keywords: semisimple Lie group
zbMATH Keywords: nilpotent orbit
zbMATH Keywords: elliptic orbital integral
zbMATH Keywords: limit formula
zbMATH Keywords: elliptic orbits
MaRDI profile type: Publication
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full work available at URL: s0012-7094-02-11325-8
OpenAlex ID: W2132479846
description: scientific article; zbMATH DE number 1820909