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

2014/05/26 by Weideng Cui, Cui, Weideng
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1405.6705

openalex publication_date 2014/05/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Related

• An Iwahori-Matsumoto presentation of affine Yokonuma-Hecke algebras
• Affinizations and R-matrices for quiver Hecke algebras
• Affine Hecke algebras and quiver Hecke algebras
• Representation type of finite quiver Hecke algebras of type A⁽¹⁾_ℓ for arbitrary parameters
• Generalized quiver Hecke algebras