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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Symmetric determinants and Jordan norm similarities in characteristic $ 2$


Author: William C. Waterhouse
Journal: Proc. Amer. Math. Soc. 93 (1985), 583-589
MSC: Primary 14L15; Secondary 15A15, 17C20
DOI: https://doi.org/10.1090/S0002-9939-1985-0776183-2
MathSciNet review: 776183
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Abstract: We first determine all linear changes of variable formally preserving symmetric determinants in characteristic 2; there are just slightly more of them than in other characteristics. We then restate this result in terms of affine group schemes. This allows us to apply descent theory, and thereby we prove a theorem on norm similarities of Jordan algebras in the one case left open by Jacobson.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0776183-2
Article copyright: © Copyright 1985 American Mathematical Society