18 citations · 19 across the 5 of their papers we have counts for
5 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…
Symmetric functions in superspace
P. Desrosiers, L. Lapointe, P. Mathieu
We construct a generalization of the theory of symmetric functions involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, called symmetri…
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…