Pfister's Theorem for orthogonal involutions of degree 12
classification
🧮 math.RA
math.GR
keywords
involutionsorthogonalpfisterdegreedimensionfactformsgeneralize
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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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