On the center of affine Hecke algebras of type A

Details On the center of affine Hecke algebras of type A On the center of affine Hecke algebras of type A

2000-05-18

arxiv.org/abs/math/0005182v2

Mathematics

Quantum Algebra

Latex, 21 pages, 3 figures, some more references added

Scientific paper

We give an explicit expression for the central elements of affine Hecke algebras of type A in the Coxeter presentation, in terms of (parabolic) affine Kazhdan-Lusztig polynomials. Our approach is based on a version of quantum affine Schur-Weyl duality involving the Hall algebra of a cyclic quiver, on the theory of canonical bases and on the higher-level q-deformed Fock spaces recently introduced by Uglov.

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