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arXiv · 1508.02038

On biquaternion algebras with involution of orthogonal type

A. -H. Nokhodkar
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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.

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A. -H. Nokhodkar. 2015-08-09. On biquaternion algebras with involution of orthogonal type. https://arxiv.org/abs/1508.02038

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