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- Thomas Lam
- 2005

We define a new family of symmetric functions which are affine analogues of Stanley symmetric functions. We establish basic properties of these functions including symmetry, dominance and… (More)

- Thomas Lam
- 2006

Confirming a conjecture of Mark Shimozono, we identify polynomial representatives for the Schubert classes of the affine Grassmannian as the k-Schur functions in homology and affine Schur functions… (More)

We study combinatorial aspects of the Schubert calculus of the affine Grassmannian Gr associated with SL(n, C). Our main results are: • Pieri rules for the Schubert bases of H(Gr) and H∗(Gr), which… (More)

- Thomas Lam
- J. Comb. Theory, Ser. A
- 2004

We study some properties of domino insertion, focusing on aspects related to Fomin’s growth diagrams [3, 4]. We give a self-contained proof of the semistandard domino-Schensted correspondence given… (More)

- Thomas Lam, Alexander Postnikov
- Discrete & Computational Geometry
- 2007

The aim of this paper is to initiate the study of alcoved polytopes, which are polytopes arising from affine Coxeter arrangements. This class of convex polytopes includes many classical polytopes,… (More)

Recent years have seen a surprising connection between the physics of scattering amplitudes and a class of mathematical objects–the positive Grassmannian, positive loop Grassmannians, tree and loop… (More)

While the intersection of the Grassmannian Bruhat decompositions for all coordinate flags is an intractable mess, the intersection of only the cyclic shifts of one Bruhat decomposition turns out to… (More)

In this paper we explore the combinatorics of the non-negati ve part(G/P )≥0 of a cominuscule Grassmannian. For each such Grassmannian we define Γ -diagrams – certain fillings of generalized Young… (More)

Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, we study six combinatorial Hopf algebras. These Hopf algebras can be thought of as K-theoretic… (More)

- Thomas Lam
- Eur. J. Comb.
- 2008

A new combinatorial approach to the ribbon tableaux generating functions and q-Littlewood Richardson coefficients of Lascoux, Leclerc and Thibon [10] is suggested. We define operators which add… (More)