Maximal prepositive cones on quaternion algebras with involution
Rings and Algebras
2026-05-21 v3
Abstract
We give a description of prepositive cones -- a notion of ordering on algebras with involution introduced by Astier and Unger -- in the specific context of quaternion algebras with involution. Our main result establishes that, for a broad class of quaternion algebras with involution, every prepositive cone is maximal.
Keywords
Cite
@article{arxiv.2506.13426,
title = {Maximal prepositive cones on quaternion algebras with involution},
author = {Andrew Leader},
journal= {arXiv preprint arXiv:2506.13426},
year = {2026}
}
Comments
Accepted for publication in Journal of Algebra and Its Applications; Final version before publication; 9 pages