61 citations · 243 across the 31 of their papers we have counts for
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A geometric realization of Catalan functions
Syu Kato
We construct smooth projective varieties $\sX_Ψ$, each of which compactifies an equivariant vector subbundle of the cotangent bundle of the flag variety for $\GL(n)$. Each variety…
On quantum -groups of partial flag manifolds
Syu Kato
We show that the equivariant small quantum -group of a partial flag manifold is a quotient of that of the full flag manifold in a way that respects the Schubert classes. This is…
Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
Syu Kato
We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field of characte…
Loop structure on equivariant -theory of semi-infinite flag manifolds
Syu Kato
We explain that the Pontryagin product structure on the equivariant -group of an affine Grassmannian considered in [Lam-Schilling-Shimozono, Compos. Math. {\bf 146} (2010)] coin…
Frobenius splitting of thick flag manifolds of Kac-Moody algebras
Syu Kato
We explain that the Plücker relations provide the defining equations of the thick flag manifold associated to a Kac-Moody algebra. This naturally transplant the result of Kumar-Mat…
An exotic nilpotent cone for symplectic group
Syu Kato
The contents of this paper is merged into math.RT/0601155. To avoid possible confusion, I withdraw this paper.