Pieri’s formula for generalized Schur polynomials

被引：0

作者：

Yasuhide Numata

机构：

[1] Hokkaido University,Department of Mathematics

来源：

Journal of Algebraic Combinatorics | 2007年 / 26卷

关键词：

Pieri formula; Generarized Schur operators; Schur polynomials; Young diagrams; Planar binary trees; Differential posets; Dual graphs; Symmetric functions; Quasi-symmetric polynomials;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：27 / 45

页数：18