The (μ, ν) -representations are realized on a space of polynomials P μ μ , ν ν 2 in z 1 , z 1 ¯ ¯ , z 2 , z 2 ¯ ¯ , homogeneous of degree μ in z 1 , z 2 and homogeneous of degree ν in z 1 ¯ ¯ , z 2 ¯ ¯ . The representations are given by