Quaternion Orders and Ternary Quadratic Forms
Number Theory
2011-03-28 v1
Abstract
We give details of a formerly known relation between ternary quadratic forms and quaternion orders through the even Clifford algebra. Based on this and classifications of ternary quadratic forms we give a completely explicit classification of quaternion orders in the padic case.
Cite
@article{arxiv.1103.4922,
title = {Quaternion Orders and Ternary Quadratic Forms},
author = {Stefan Lemurell},
journal= {arXiv preprint arXiv:1103.4922},
year = {2011}
}
Comments
Originally appeared as part of the authors Ph.D. thesis in 1997 (whose name then was Stefan Johansson) under the title "A Description of Quaternion Algebras"