In mathematics, a bracket algebra is an algebraic system that connects the notion of a supersymmetry algebra with a symbolic representation of projective invariants.
Given that L is a proper signed alphabet and Super[''L''] is the supersymmetric algebra, the bracket algebra Bracket[''L''] of dimension n over the field K is the quotient of the algebra Brace obtained by imposing the congruence relations below, where w, w, ..., w" are any monomials in Super[''L'']: