Quantum Schur duality of affine type C with three parameters

Abstract

We establish a three-parameter Schur duality between the affine Hecke algebra of type C and a coideal subalgebra of quantum affine ${\mathfrak{sl}}_n$. At the equal parameter specializations, we obtain Schur dualities of types BCD.

arXiv comment25 pages. Minor corrections, to appear in Math. Res. Letters

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Cited by in corpus (1)

• Exotic Springer fibers for orbits corresponding to one-row bipartitions