Symmetric quiver Hecke algebras andR-matrices of quantum affine algebras III: Table 1.

Abstract

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