1306.5379 (Mehdi Hage-Hassan)

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

Mehdi Hage-Hassan

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 ($\lambda 10,\lambda 2 \mu 2; \lambda 3 \mu 3$).

View original: http://arxiv.org/abs/1306.5379