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Jacobson's theorem for bilinear forms in characteristic 2

Author(s): Ahmed Laghribi
Journal: Proc. Amer. Math. Soc. 137 (2009), 2905-2912.
MSC (2000): Primary 11E04; Secondary 11E81
Posted: March 18, 2009
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Abstract: The aim of this paper is to extend to bilinear forms in characteristic $ 2$ a result of Jacobson which states that over any field, two Albert quadratic forms are similar if and only if they have the same Clifford invariant.

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Additional Information:

Ahmed Laghribi
Affiliation: Laboratoire de Mathématiques de Lens EA 2462, Faculté des Sciences Jean Perrin, rue Jean Souvraz - SP18, F-62307 Lens, France
Email: laghribi@euler.univ-artois.fr

DOI: 10.1090/S0002-9939-09-09861-X
PII: S 0002-9939(09)09861-X
Keywords: Bilinear forms, totally singular quadratic forms, norm field, norm degree, differential forms.
Received by editor(s): June 27, 2007,
Received by editor(s) in revised form: December 13, 2008
Posted: March 18, 2009
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2009, American Mathematical Society

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