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

Lulek, Barbara; Lulek, Tadeusz; Jakubczyk, Paweł; Jakubczyk, Dorota

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