Abstract
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.
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