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

Obrazek miniatury
Data
2009
Autorzy
Lulek, Barbara
Lulek, Tadeusz
Jakubczyk, Paweł
Jakubczyk, Dorota
Tytuł czasopisma
ISSN
Tytuł tomu
Wydawnictwo
Elsevier
Abstrakt
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.
Opis
Słowa kluczowe
Cytowanie
B. Lulek, T. Lulek P. Jakubczyk D. Jakubczyk, Physica B 404, 115-121(2009).