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math.CO2019
On cyclic quiver parabolic Kostka-Shoji polynomials
Daniel Orr, Mark Shimozono
We obtain an explicit combinatorial formula for certain parabolic Kostka-Shoji polynomials associated with the cyclic quiver, generalizing results of Shoji and of Liu and Shoji.
math.CO2019
On the coproduct in affine Schubert calculus
Thomas Lam, Seung Jin Lee, Mark Shimozono
The cohomology of the affine flag variety of a complex reductive group is a comodule over the cohomology of the affine Grassmannian. We give positive formulae for the coproduct of…