A.-H. Nokhodkar: On decomposable biquaternion algebras with involution of orthogonal type

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: : 11E88, 15A63,

Keywords and Phrases: biquaternion algebras, involution, pfaffian, quadratic form, bilinear form.

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