Submission: 2015, Mar 15
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.
2010 Mathematics Subject Classification: 16W10, 16W25, 16K20, 11E39
Keywords and Phrases: Central simple algebra, quaternion algebra, Frobenius algebra, algebra with involution
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