A categorical equivalence between affine Yokonuma-Hecke algebras and some quiver Hecke algebras

Abstract

Inspired by the work of Rostam, we establish an explicit categorical equivalence between affine Yokonuma-Hecke algebras and quiver Hecke algebras associated to disjoint copies of quivers of (affine) type $A,$ generalizing Rouquier's categorical equivalence theorem.

A note. We establish an explicit categorical equivalence between affine Yokonuma-Hecke algebras and some quiver Hecke algebras, generalizing Rouquier's categorical equivalence theorem