The purpose of this short note is to connect the two parts of the title, on one hand Clifford algebras and Clifford modules, on the other hand matrix factorizations of a non degenerate quadratic homogeneous polynomial. The main result states the category of Clifford modules is equivalent to a suitably defined category of Matrix factorizations of the quadratic polynomial. This shed a new light about the category of Clifford modules.
We define reflexive sheaves on a singular quadric Q that generalize the spinor bundles on smooth quadrics, using matrix factorizations of the equation of Q. We study the first properties of these spinor sheaves, give a Horrocks-type criterion, and show that they are semi-stable, and indeed stable in some cases.
The oxidative polymorphism of debrisoquine (DBQ) has been determined in 89 patients with colo-rectal cancer and in 556 normal control subjects. Four patients and 34 controls, with a metabolic ratio >12.6, were classified as poor metabolisers of DBQ (n.s.).