  The primitive elements of the supersymmetry algebra cohomology as defined in
previous work are derived for standard supersymmetry algebras in dimensions
D=5,...,11 for all signatures of the related Clifford algebras of gamma
matrices and all numbers of supersymmetries. The results are presented in a
uniform notation along with results of previous work for D=4, and derived by
means of dimensional extension from D=4 up to D=11.
