Takeshi Ikeda

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20242026

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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…

math.AG2024

Quantum $K$ -theory of Lagrangian Grassmannian via parabolic Peterson isomorphism

Takeshi Ikeda, Takafumi Kouno, Yusuke Nakayama +1

We study Schubert calculus in the torus-equivariant quantum $K$ -ring of the Lagrangian Grassmannian $LG (n)$ . Our main tool is the $K$ -theoretic Peterson map due to Kato. T…

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

Quantum K-theory of Lagrangian Grassmannian via parabolic Peterson isomorphism

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

Quantum $K$ -theory of Lagrangian Grassmannian via parabolic Peterson isomorphism