Muirhead-Rado inequality for compact groups
type: Item
instance of: scholarly article
title: Muirhead-Rado inequality for compact groups
zbMATH Open document ID: 1179.26051
author: Leonard J. Schulman
published in: Positivity
publication date: 2009-09-02T00:00:00Z
review text: The author extends the Muirhead-Rado inequality from finite permutation groups to unitary actions of compact groups; and gives a characterization of saturation of this inequality. He also considers the case of group actions on Hermitian operators and gives a representation-theoretic characterization of the saturation condition for this case. At the end of the paper, an application to statistical physics is pointed out.
Mathematics Subject Classification ID: 26D05
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 5601471
zbMATH Keywords: inequality
zbMATH Keywords: majorization
zbMATH Keywords: symmetric function
reviewed by: József Sándor
MaRDI profile type: Publication
full work available at URL: s11117-008-2172-4
OpenAlex ID: W1971866512
cites work: Q3704110
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cites work: Q3996430
cites work: On Muirhead's theorem
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cites work: Q4236280
DOI: 10.1007/S11117-008-2172-4
description: scientific article; zbMATH DE number 5601471