A N-extended version of superalgebras in D=3,9 mod 8

Abstract

A set of generalized superalgebras containing arbitrary tensor p-form operators is considered in dimensions D=2n+1 for n=1,4 mod 4 and the general conditions for its existence expressed in the form of generalized Jacobi identities is established. These are then solved in a univoque way and some lowest dimensional cases D= 3, 9, 11 of possible interest are made explicit.

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