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arXiv · 1306.5379

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

Mehdi Hage-Hassan
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Abstract

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

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Mehdi Hage-Hassan. 2013-06-23. Applications of generating function method to the symmetry and the Kronecker products of SU(n) representations. https://arxiv.org/abs/1306.5379

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