On the center of affine Hecke algebras of type A
Olivier Schiffmann
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.
Create a lesson
Related papers
On the Mext groups of sVecR and sVecH
Sean Sanford
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
Magma Automorphisms and Quasi-Linear Cycle Sets
Nigel P. Byott, Edgar Jasko
Unitary TQFTs, unitary disk-like n-categories, and higher Hilbert spaces
Greyson Wesley
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Braided Hopf algebroids and Lie algebroids
Xiao Han