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

Lulek B; Lulek T; Jakubczyk P; Jakubczyk D

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

机译：基数级别的Kostka矩阵和完整的Jucys-Murphy通勤算子

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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. (C) 2008 Elsevier B.V. All rights reserved.

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《Physica, B. Condensed Matter》 |2009年第1期|共7页
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Lulek B; Lulek T; Jakubczyk P; Jakubczyk D;
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正文语种 eng
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Jucys-Murphy operators; Young orthogonal basis; Kostka matrix; Schur-Weyl duality; Axial distance; SYMMETRIC GROUP; HECKE ALGEBRAS; BRAID-GROUPS; REPRESENTATIONS; DUALITY; WEYL;

机译：Jucys-Murphy算子;Young正交基;Kostka矩阵;Schur-Weyl对偶;轴距离;对称群;Hecke代数;Braid-Groups;表示;对偶;WEYL;

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

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