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arXiv · 1503.04418

On totally decomposable algebras with involution in characteristic two

M. G. Mahmoudi·A. -H. Nokhodkar
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Abstract

A necessary and sufficient condition for a central simple algebra with involution over a field of characteristic two to be decomposable as a tensor product of quaternion algebras with involution, in terms of its Frobenius subalgebras, is given. It is also proved that a bilinear Pfister form, recently introduced by A. Dolphin, can classify totally decomposable central simple algebras of orthogonal type.

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M. G. Mahmoudi, A. -H. Nokhodkar. 2015-03-15. On totally decomposable algebras with involution in characteristic two. https://arxiv.org/abs/1503.04418

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