Submission: 2013, Nov 6
In this paper we present a decomposition theorem for generalised quadratic forms over a division algebra with involution in characteristic 2. This is a generalisation of a decomposition result on quadratic forms in characteristic 2 and extends a generalisation of the Witt decomposition theorem for nonsingular forms to cover forms that may be singular.
2010 Mathematics Subject Classification: 11E39, 11E81, 12F05, 12F10.
Keywords and Phrases: Central simple algebras, involutions, generalised quadratic forms, pseudo-quadratic forms, characteristic two, Witt decomposition.
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