Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599719 | Linear Algebra and its Applications | 2014 | 14 Pages |
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 Â 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 RnRn, permutes and changes the signs of components.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andrew R. Francis, Henry P. Wynn,