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arXiv:1103.4922 [math.NT]AbstractReferencesReviewsResources

Quaternion Orders and Ternary Quadratic Forms

Stefan Lemurell

Published 2011-03-25Version 1

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.

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"
Categories: math.NT
Subjects: 11E08, 11R52
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