Quaternion Orders and Ternary Quadratic Forms

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.

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"

Cited by in corpus (1)

• Computing ideal classes representatives in quaternion algebras