M. Shimozono

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math.RT2025

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

Takeshi Ikeda, Shinsuke Iwao, Mark Shimozono

We study the torus-equivariant homology $H_{*}^{T} (Gr_{G})$ of the affine Grassmannian $Gr_{G}$ , where $G = Sp_{2 n} (C)$ is the symplectic group. This homo…

math.RT2024

Equivariant $K$ -homology of affine Grassmannian and $K$ -theoretic double $k$ -Schur functions

Takeshi Ikeda, Mark Shimozono, Kohei Yamaguchi

We study the torus equivariant K-homology ring of the affine Grassmannian $Gr_{G}$ where $G$ is a connected reductive linear algebraic group. In type $A$ , we introduce equiv…

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur P-functions

Equivariant K-homology of affine Grassmannian and K-theoretic double k-Schur functions

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

Equivariant $K$ -homology of affine Grassmannian and $K$ -theoretic double $k$ -Schur functions