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On totally decomposable algebras with involution in characteristic two

By M. G. Mahmoudi and A. -H. Nokhodkar


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

Topics: Mathematics - Rings and Algebras
Year: 2015
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