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Reflection functors on quiver Hecke algebras

2025/06/15 by Masaki Kashiwara, Myungho Kim, Kashiwara, Masaki +5
Mathematics · #16D90 #18M05 #81R10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2506.12681

openalex publication_date 2025/06/15 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

We construct the reflection functors for quiver Hecke algebras of an arbitrary symmetrizable Kac-Moody type. These reflection functors categorify Lusztig's braid symmetries.

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