Bijective Lattice Path Proof of the Equality of the Dual Jacobi-Trudy Determinants

UENO, Kazuo

UENO, Kazuo

Tokyo J. of Math., Tome 14 (1991) no. 2, p. 341-343 / Harvested from Project Euclid

Résumé

We give a bijective lattice path proof of the equality of the dual Jacobi-Trudy determinant formulas for Schur polynomials. Related ideas have appeared in [1, pp.304-306] and [2, p.24]. We remark that the same bijection works for the case of flagged skew Schur polynomials [2, 8] and that a determinant for $q$-counting restricted lattice paths [7] follows from the bijection.

Publié le : 1991-12-15
Classification:

@article{1270130377,
     author = {UENO, Kazuo},
     title = {Bijective Lattice Path Proof of the Equality of the Dual Jacobi-Trudy Determinants},
     journal = {Tokyo J. of Math.},
     volume = {14},
     number = {2},
     year = {1991},
     pages = { 341-343},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130377}
}

UENO, Kazuo. Bijective Lattice Path Proof of the Equality of the Dual Jacobi-Trudy Determinants. Tokyo J. of Math., Tome 14 (1991) no. 2, pp.  341-343. http://gdmltest.u-ga.fr/item/1270130377/