For even n , the even subalgebra C l 0 ( n ) of the complex Clifford algebra C l ( n ) is isomorphic to E n d ( C N / 2 ) ⊕ ⊕ E n d ( C N / 2 ) =: Δ Δ n + ⊕ ⊕ Δ Δ n − − , where N = 2 n / 2 . A left-handed (respectively, right-handed) complex Weyl spinor in n -dimensional space is an element of Δ Δ n + (respectively, Δ Δ n − − ).