Abstract
The decomposition of the basic spin irreps of the special orthogonal group SO2k into irreps of SOD-2*K, where D is the spacetime dimension of the extended D-dimensional Poincare supersymmetry and K is the appropriate automorphism group, is determined. General results for D 10. Several new branching rules for subgroups of SO2k are developed. A number of specific results are tabulated.
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