Francis, Andrew R. and Wynn, Henry P. 
ORCID: 0000-0002-6448-1080
(2014)
Subgroup majorization.
Linear Algebra and Its Applications, 444.
pp. 53-66.
ISSN 0024-3795
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 |
| Divisions: | LSE |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 30 Jan 2014 09:19 |
| Last Modified: | 04 Apr 2024 23:45 |
| URI: | http://eprints.lse.ac.uk/id/eprint/55476 |
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