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

Abstract

Let $\CC^0_{\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\g)$ and let $R^{A_\infty}\gmod$ denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type $A_{\infty }$. In this paper, we investigate the relationship between the categories $\CC^0_{A_{N-1}^{(1)}}$ and $\CC^0_{A_{N-1}^{(2)}}$ by constructing the generalized quantum affine Schur-Weyl duality functors $\F^{(t)}$ from $R^{A_\infty}\gmod$ to $\CC^0_{A_{N-1}^{(t)}}$ $(t=1,2)$.

This version is the last version and accepted for publication in the Proceedings of the London Mathematical Society

References in corpus (1)

• Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras II

Cited by in corpus (6)

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• Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm
• Categorical relations between Langlands dual quantum affine algebras: Exceptional cases
• Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality
• Graded quiver varieties and singularities of normalized R-matrices for fundamental modules
• Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras