Affinizations and R-matrices for quiver Hecke algebras

Abstract

We introduce the notion of affinizations and R-matrices for arbitrary quiver Hekcke algebras. We show that they enjoy similar properties to those for symmetric quiver Hecke algebras. We next define the notion of a duality datum and construct a tensor functor between graded module categories of two quiver Hecke algebras. We give several examples of such functors .

37 pages; minor typos corrected; to appear in Journal of the European Mathematical Society

References in corpus (3)

• 2-Kac-Moody algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Monoidal categorification of cluster algebras II

Cited by in corpus (3)

• Homomorphisms between standard modules over finite type KLR algebras
• Monoidal categories associated with strata of flag manifolds
• Monoidal categories of modules over quantum affine algebras of type A and B