On biquaternion algebras with orthogonal involution

Authors: AMIR HOSSEIN NOKHODKAR

Abstract: 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 and some other related invariants is studied. Also, in arbitrary characteristic, a criterion is obtained for an orthogonal involution on a biquaternion algebra to be metabolic.

Keywords: Biquaternion algebra, Pfaffian, orthogonal involution

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