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.
CITATION STYLE
Voight, J. (2021). Quaternion orders and ternary quadratic forms (pp. 353–373). https://doi.org/10.1007/978-3-030-56694-4_22
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