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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 We prove an unpublished result of D. Peterson which states that the quantum cohomo…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 …