Lulek, BarbaraLulek, TadeuszJakubczyk, PawełJakubczyk, Dorota2014-11-242014-11-242009B. Lulek, T. Lulek P. Jakubczyk D. Jakubczyk, Physica B 404, 115-121(2009).http://repozytorium.ur.edu.pl/handle/item/779A method for evaluation of Kostka matrices at the level of bases, and determination of related irreducible basis of the Weyl duality is proposed. The method bases on Jucys-Murphy operators which constitute a complete set of commuting Hermitian operators along the general Dirac formalism of quantum mechanics, applied to the algebra of a symmetric group. The way of construction of appropriate projection operators is pointed out, and the combinatorial meaning of the path on the Young graph, corresponding to a standard Young tableau, is made transparent.engarticle