## A Classification of Generalized Supersymmetries |

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36 bosonic components A/-algebra algebra structure analytic continuation anticommutators antisymmetrized products Área de Publicações bosonic components real bosonic degrees bosonic sector Brasileiro de Pesquisas CBPF/MCT Centro Brasileiro charge conjugation matrix classification of Clifford Clifford gamma matrices complex and quaternionic complex generalized supersymmetry complex holomorphic supersymmetry complex or quaternionic complex spinors components real counting constrained generalized supersymmetries corresponding Clifford irreps D-dimensional degrees of freedom denoted dimensional reduction division-algebra character division-algebra classification Division-algebra compatible dynamical systems Euclidean following table funda fundamental spinors given space-time HLS scheme holomorphic sector Lorentz M-theory maximal Clifford algebras maximal number mental spinors metries Minkowskian notion of maximal number of bosonic number of components octonionic Pesquisas Físicas Área q mod Qa,Qb quaternionic supersymmetries Real generalized supersymmetry reality condition reality constraint recovered Rio de Janeiro space-like structure constants supersym supersymmetries associated supersymmetry algebra supertranslations symmetric tensorial central charges three Clifford three imaginary quaternions time-like Weyl-type Xavier Sigaud