On the monoidality of Saito reflection functors

2017/11/26 by Syu Kato, Kato, Syu · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1711.09085

openalex publication_date 2017/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend the definition of the Saito reflection functor of the Khovanov- Lauda-Rouquier algebras to symmetric Kac-Moody algebra case and prove that it defines a monoidal functor.

Citations

• 2-Kac-Moody algebras

Cited by

• Monoidality of Kato's Reflection Functors
• Representation theory of geometric extension algebras
• Monoidal categories associated with strata of flag manifolds

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