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

References in corpus (4)

• 2-Kac-Moody algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties

Cited by in corpus (1)

• Fusion procedure for Yokonuma-Hecke algebras