18 citations · 18 across the 4 of their papers we have counts for
4 papers
A k-tableau characterization of k-Schur functions
Luc Lapointe, Jennifer Morse
We study k-Schur functions characterized by k-tableaux, proving combinatorial properties such as a k-Pieri rule and a k-conjugation. This new approach relies on developing the theo…
Quantum cohomology and the k-Schur basis
L. Lapointe, J. Morse
We prove that structure constants related to Hecke algebras at roots of unity are special cases of k-Littlewood-Richardson coefficients associated to a product of k-Schur functions…
Order ideals in weak subposets of Young's lattice and associated unimodality conjectures
Luc Lapointe, Jennifer Morse
The k-Young lattice Y^k is a weak subposet of the Young lattice containing partitions whose first part is bounded by an integer k>0. The Y^k poset was introduced in connection with…
Tableaux on k+1-cores, reduced words for affine permutations, and k-Schur expansions
L. Lapointe, J. Morse
The -Young lattice is a partial order on partitions with no part larger than . This weak subposet of the Young lattice originated from the study of the -Schur functi…