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Mathematics  2008 

Pfister's Theorem for orthogonal involutions of degree 12

DOI: 10.1090/S0002-9939-08-09674-3

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Abstract:

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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