This equation is closely related to the usual Dirac equation, a connection which emerges from the close relation between the exterior algebra of differential forms and the Clifford algebra of which Dirac spinors are irreducible representations. For the basis elements to satisfy the Clifford algebra { d x μ μ , d x ν ν } = 2 δ δ μ μ ν ν , it is required to introduce a new Clifford product ∨ ∨ acting on basis elements as