68 citations · 670 across the 62 of their papers we have counts for
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math.CO2007★ 16 cited
Schubert Polynomials for the affine Grassmannian of the symplectic group
Thomas Lam, Anne Schilling, Mark Shimozono
We study the Schubert calculus of the affine Grassmannian Gr of the symplectic group. The integral homology and cohomology rings of Gr are identified with dual Hopf algebras of sym…
math.AG2007★ 1 cited
Quantum cohomology of G/P and homology of affine Grassmannian
Thomas Lam, Mark Shimozono
Let G be a simple and simply-connected complex algebraic group, P \subset G a parabolic subgroup. We prove an unpublished result of D. Peterson which states that the quantum cohomo…
math.CO2007★ 6 cited
Dual graded graphs for Kac-Moody algebras
Thomas Lam, Mark Shimozono
Motivated by affine Schubert calculus, we construct a family of dual graded graphs for an arbitrary Kac-Moody algebra $\g(A)$. The graded graphs have the Weyl group …