Linear Mappings of Quaternion Algebra
Rings and Algebras
2011-07-14 v2
Abstract
In the paper I considered linear and antilinear automorphisms of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to the given set of linear and antilinear automorphisms.
Cite
@article{arxiv.1107.1139,
title = {Linear Mappings of Quaternion Algebra},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:1107.1139},
year = {2011}
}
Comments
English text - 25 pages; Russian text - 25 pages. The goal of this paper is to establish bridge between different views on linear mappings of quaternion algebra