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