The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie group
type: Item
instance of: scholarly article
title: The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie group
zbMATH Open document ID: 1089.22015
DOI: 10.1007/BF02772544
author: Hee Oh
published in: Israel Journal of Mathematics
publication date: 2006-02-06T00:00:00Z
review text: Let \(G\) be a compact non-commutative Lie group not locally isomorphic to \(SO(3)\). This paper provides a generalization of a theorem of Lubotzky, Phillips and Sarnak on distributing points on the sphere \(S^2\) (or \(S^3\)) to any homogeneous space of \(G\). To be more precise, for infinitely many primes \(p\), the author constructs a finite subset \(S_p\), and gives a bound for the operator norm \(\lambda_{S_p}\). The result can be viewed as a quantitative solution to the generalized Ruziewicz problem.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 5003398
zbMATH Keywords: homogeneous space
zbMATH Keywords: Hecke operator
zbMATH Keywords: Haar measure
Wikidata QID: Q115391663
reviewed by: Hu Jun
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02772544
OpenAlex ID: W2069049788
description: scientific article; zbMATH DE number 5003398