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...Spingeometry josefigueroa o farrill http empg maths ed ac uk activities spin versionofthmay these are the notes accompanying lectures on geometry a pg course taught in edinburghinthespringof theonlyrequirementisaworkingfamiliaritywithbasicdifferentialgeometryandbasicrep resentation theory although scholia necessary denitions will be scattered through outthenotes anystatementwhichisnotprovedtoyoursatisfactionistobethoughtofasanexercise even if not explicitly labelled as such still state of ux and i am happy to receive comments suggestions either by email or person j m figueroa at jmf contents cliffordalgebras basicnotions quadraticvectorspaces thecliffordalgebra categorically denition construction thecliffordalgebraascliffordwouldhavewrittenit clifford algebra terms generators relations low dimensionalcliffordalgebras thecliffordalgebraandtheexterioralgebra filtered andassociatedgradedalgebras thez gradingrevisited theltrationofthecliffordalgebra theactionofc v q thecliffordinnerproduct...