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math.CO2007
A recursion formula for k-Schur functions
Daniel Bravo, Luc Lapointe
The Bernstein operators allow to build recursively the Schur functions. We present a recursion formula for k-Schur functions at t=1 based on combinatorial operators that generalize…
math.CO2005
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…
math.CO2004
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…