Pfister's Theorem for orthogonal involutions of degree 12

Details Pfister's Theorem for orthogonal involutions of degree 12 Pfister's Theorem for orthogonal involutions of degree 12

2008-02-08

arxiv.org/abs/0802.1172v1

Proc. Amer. Math. Soc. 137 (2009), 1215-1222

Mathematics

Rings and Algebras

Scientific paper

10.1090/S0002-9939-08-09674-3

We use the fact that a projective half-spin representation of $Spin_{12}$ has
an open orbit to generalize Pfister's result on quadratic forms of dimension 12
in $I^3$ to orthogonal involutions.

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