Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)
Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)
A Gel’fand–Zetlin basis is introduced for the irreducible covariant tensor representations of the Lie superalgebra gl(m∣n). Explicit expressions for the generators of the Lie superalgebra acting on this basis are determined. Furthermore, Clebsch–Gordan coefficients corresponding to the tensor product of any covariant tensor representation of gl(m∣n) with the natural representation …