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Subgroup majorization

Francis, Andrew R. and Wynn, Henry P. (2014) Subgroup majorization. Linear Algebra and Its Applications, 444. pp. 53-66. ISSN 0024-3795

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Identification Number: 10.1016/j.laa.2013.11.042

Abstract

The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as G-majorization. There are strong results in the case that G is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and extensions. The implications for fundamental cones and order-preserving functions are studied. The main example considered is the hyperoctahedral group, which, acting on a vector in ℝn, permutes and changes the signs of components. Crown Copyright © 2013 Published by Elsevier Inc. All rights reserved.

Item Type: Article
Official URL: http://www.journals.elsevier.com/linear-algebra-an...
Additional Information: © 2013 Crown Copyright © Published by Elsevier Inc. All rights reserved
Subjects: Q Science > QA Mathematics
Sets: Research centres and groups > Decision Support and Risk Group (DSRG)
Date Deposited: 30 Jan 2014 09:19
Last Modified: 24 Mar 2014 10:42
URI: http://eprints.lse.ac.uk/id/eprint/55476

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