Andrew Dolphin: Singular and totally singular generalised quadratic forms

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.

Full text: dvi.gz 30 k, dvi 70 k, ps.gz 716 k, pdf.gz 157 k, pdf 175 k.

Server Home Page