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.

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