CaltechAUTHORS
Published August 2009 | Version public
Journal Article Metadata-only

Muirhead-Rado inequality for compact groups

Creators

  • 1. ROR icon California Institute of Technology

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.

Additional Information

© 2009 Springer. Received: 13 September 2007. Accepted: 15 August 2008. Published online: 4 October 2008. Supported in part by the National Science Foundation and the Center for the Mathematics of Information. Thanks to an anonymous referee for comments that improved this paper.

Additional details

Identifiers

Eprint ID
15260
Resolver ID
CaltechAUTHORS:20090824-094016673

Funding

NSF
Center for the Mathematics of Information, Caltech

Dates

Created
2009-08-25
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field