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Kostka matrices at the level of bases and the complete set of commuting Jucys-Murphy operators

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dc.contributor.author Lulek, Barbara
dc.contributor.author Lulek, Tadeusz
dc.contributor.author Jakubczyk, Paweł
dc.contributor.author Jakubczyk, Dorota
dc.date.accessioned 2014-11-24T15:09:00Z
dc.date.available 2014-11-24T15:09:00Z
dc.date.issued 2009
dc.identifier.citation B. Lulek, T. Lulek P. Jakubczyk D. Jakubczyk, Physica B 404, 115-121(2009). pl_PL.UTF-8
dc.identifier.uri http://repozytorium.ur.edu.pl/handle/item/779
dc.description.abstract 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. pl_PL.UTF-8
dc.language.iso eng pl_PL.UTF-8
dc.publisher Elsevier pl_PL.UTF-8
dc.title Kostka matrices at the level of bases and the complete set of commuting Jucys-Murphy operators pl_PL.UTF-8
dc.type article pl_PL.UTF-8


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