anokhodkar@yahoo.com
Submission: 2015, Aug 9
We investigate the pfaffians of decomposable biquaternion algebras with involution of orthogonal type. In characteristic two, a classification of these algebras in terms of their pfaffians is studied. Also, in arbitrary characteristic, a criterion for an orthogonal involution on a biquaternion algebra to be metabolic is obtained.
2010 Mathematics Subject Classification:
Keywords and Phrases: biquaternion algebras, involution, pfaffian,
quadratic form, bilinear form.
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