Cone-transitive matrix semigroups

Authors
Livshits, L Macdonald, G Radjavi, H
Citation
L. Livshits et al., Cone-transitive matrix semigroups, LINEAR MULT, 47(4), 2000, pp. 313-350
Citations number
3
Categorie Soggetti
Mathematics
Journal title
LINEAR & MULTILINEAR ALGEBRA
ISSN journal
03081087 → ACNP
Volume
47
Issue
4
Year of publication
2000
Pages
313 - 350
Database
ISI
SICI code
0308-1087(2000)47:4<313:CMS>2.0.ZU;2-1
Abstract
Semigroups of matrices (over an ordered field) with non-negative entries ar e considered. A complete characterization is obtained for the semigroups wh ich are minimal transitive on the positive (or non-negative) cone of the un derlying vector space. Consequently, an explicit form for the semigroups sh arply transitive on the cone is derived.