, Volume 13, Issue 3, pp 559–574

Muirhead-Rado inequality for compact groups


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


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.


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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