Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III

Abstract

Let l(g)(0) be the category of finite-dimensional integrable modules over the quantum affine algebra Uq'(g) and let R-A infinity-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A(infinity). In this paper, we investigate the relationship between the categories l(A(1)N-1)(0) and l(A(2)N-1)(0) by constructing the generalized quantum affine Schur-Weyl duality functors F-(t) from R-A infinity-gmod to l(A(t)N-1)(0) (t = 1,2).