The degenerate affine walled Brauer algebra

Abstract

We define a degenerate affine version of the walled Brauer algebra, that has the same role played by the degenerate affine Hecke algebra for the symmetric group algebra. We use it to prove a higher level mixed Schur–Weyl duality for glN. We consider then families of cyclotomic quotients of level two which appear naturally in Lie theory and we prove that they inherit from there a natural grading and a graded cellular structure.