%0 Journal Article %T Pfister's Theorem for orthogonal involutions of degree 12 %A Skip Garibaldi %A Anne Qu¨¦guiner-Mathieu %J Mathematics %D 2008 %I arXiv %R 10.1090/S0002-9939-08-09674-3 %X 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. %U http://arxiv.org/abs/0802.1172v1