Apr 7, 2021
Consider now a system of n units ι₁,ι₂,...,ιₙ such that the multiplication of any two of them is polar; that is, ιᵣ ιₛ = −ιₛιᵣ.
William Kingdon Clifford, 1878
via José Figueroa O'Farrill
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Consider now a system of n units ι₁,ι₂,...,ιₙ such that the multiplication of any two of them is polar; that is, ιᵣ ιₛ = −ιₛιᵣ.
William Kingdon Clifford, 1878
via José Figueroa O'Farrill
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Direct sum is not the coproduct in the category of quadratic vector spaces. The absence of terminal objects and (co)products in QVec is due to the fact that projections do not generally preserve norms.
José Figueroa O'Farrill, Spin Geometry
superbases for a quadratic form
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