Positivity

, Volume 13, Issue 3, pp 559–574

Muirhead-Rado inequality for compact groups

Article

DOI: 10.1007/s11117-008-2172-4

Cite this article as:
Schulman, L.J. Positivity (2009) 13: 559. doi:10.1007/s11117-008-2172-4

Abstract

Muirhead’s majorization inequality was extended by Rado to the case of arbitrary permutation groups. We further generalize this inequality to compact groups and their linear representations over the reals. We characterize saturation of the inequality, and describe the saturation condition in detail for the case of actions on Hermitian operators.

Keywords

Inequality majorization symmetric function 

Mathematics Subject Classification (2000)

52A40 26D05 60E15 

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  1. 1.CaltechPasadenaUSA

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