Przeglądanie według Autor "Lulek, Tadeusz"

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    Kostka matrices at the level of bases and the complete set of commuting Jucys-Murphy operators
    (Elsevier, 2009) Lulek, Barbara; Lulek, Tadeusz; Jakubczyk, Paweł; Jakubczyk, Dorota
    A 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.