2015•arXiv (Cornell University)Open access

Affinizations and R-matrices for quiver Hecke algebras

Masaki Kashiwara, Euiyong Park

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 .

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Key concepts: Quiver, Functor, Pure mathematics, Mathematics, Duality (order theory), Tensor (intrinsic definition), Hecke operator, Algebra over a field