Pieri's formula for generalized Schur polynomials

被引：0
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作者：
Numata, Yasuhide [1 ]
机构：
[1] Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido 060-0810, Japan
来源：
Journal of Algebraic Combinatorics | 2007年 / 26卷 / 01期
关键词：
Young's lattice; the lattice of all Young diagrams; has the Robinson-Schensted-Knuth correspondence; the correspondence between certain matrices and pairs of semi-standard Young tableaux with the same shape. Fomin introduced generalized Schur operators to generalize the Robinson-Schensted- Knuth correspondence. In this sense; generalized Schur operators are generalizations of semi-standard Young tableaux. We define a generalization of Schur polynomials as expansion coefficients of generalized Schur operators. We show that the commutation relation of generalized Schur operators implies Pieri's formula for generalized Schur polynomials. © 2006 Springer Science+Business Media; LLC;
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页码：27 / 45
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