Maximal prepositive cones on quaternion algebras with involution
Abstract
In this paper, 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.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Matrix Theory and Algorithms
Mathematics and Applications
Publication details
- Journal / source
- Journal of Algebra and Its Applications
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 14 May 2026
- Language
- EN