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math.RT2026
Relativistic Toda lattice of type B and quantum -theory of type C flag variety
Takeshi Ikeda, Shinsuke Iwao, Takafumi Kouno +2
We introduce a classical integrable system associated with the torus-equivariant quantum -theory of type C flag variety. We prove that its conserved quantities coincide with the…
math.RT2025
Equivariant homology of the symplectic affine Grassmannian and dual affine Schur -functions
Takeshi Ikeda, Shinsuke Iwao, Mark Shimozono
We study the torus-equivariant homology of the affine Grassmannian , where is the symplectic group. This homo…