On the center of affine Hecke algebras of type A

2000/05/18 by Olivier Schiffmann, Schiffmann, Olivier · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0005182

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

arxiv created 2000/05/21 · arxiv updated 2009/11/30

Abstract

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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