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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-1702-89

Keywords

Biquaternion algebra, Pfaffian, orthogonal involution

First Page

752

Last Page

762

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