68 citations · 670 across the 62 of their papers we have counts for
4 papers · 1 filter
From quantum Schubert polynomials to k-Schur functions via the Toda lattice
Thomas Lam, Mark Shimozono
We show that Lapointe-Lascoux-Morse k-Schur functions (at t=1) and Fomin-Gelfand-Postnikov quantum Schubert polynomials can be obtained from each other by a rational substitution.…
k-shape poset and branching of k-Schur functions
Thomas Lam, Luc Lapointe, Jennifer Morse +1
We give a combinatorial expansion of a Schubert homology class in the affine Grassmannian Gr_{SL_k} into Schubert homology classes in Gr_{SL_{k+1}}. This is achieved by studying th…
Stanley symmetric functions and Peterson algebras
Thomas Lam
These are (mostly) expository notes for lectures on affine Stanley symmetric functions given at the Fields Institute in 2010. We focus on the algebraic and combinatorial parts of t…
Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues
Cedric Lecouvey, Masato Okado, Mark Shimozono
This paper is concerned with one-dimensional sums in classical affine types. We prove a conjecture of the third author and Zabrocki by showing they all decompose in terms of one-di…