ABSTRACT

Abstract In this note we generalize the useful trace reduction, as discussed in [1], to superspaces

Key words: supertrace, superspace, trace reduction

2000 MSC: 17A01, 15A03

A superspace is a Z2-graded vector space V = V0 ⊕ V1 over a field F . The elements vα ∈ Vα, α ∈ Z2, are called homogeneous of degree α = p(vα). The elements in V0 are called even, those in V1 odd.