Applications of generating function method to the symmetry and the Kronecker products of SU(n) representations.

Mehdi Hage-Hassan (1)

1 UL - Faculté des Sciences Section (1)

Using the generating function of SU(n) we find the conjugate state of SU(n) basis and we find in terms of Gel'fand basis of SU(3(n-1)) the representation of the invariants of the Kronecker products of SU(n). We find a formula for the number of the elementary invariants of SU(n). We apply our method to the coupling of SU(3) and we find a new expression of the isoscalar of Wigner symbols (λ10,λ2μ2; λ3μ3).

Mots clés: SU(n); generating function; Gel'fand basis; Kronecker products; invariants; Wigner symbols; isoscalars

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]; Théorie des représentations [math.RT]

Mehdi Hage-Hassan. Applications of generating function method to the symmetry and the Kronecker products of SU(n) representations.. 2013. ⟨hal-00837566⟩