2023/02/10 by Lin Ji, Ming Lu, Lin, Ji +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2302.05012
openalex publication_date 2023/02/10 · openalex created_date 2023/02/14 · openalex updated_date 2026/07/28
Based on the realization of quantum Borcherds-Bozec algebra \widetildeU and quantum generalized Kac-Moody algebra B\widetildeU via semi-derived Ringel-Hall algebra of a quiver with loops, we deduce the braid group actions of \widetildeU introduced by Fan and Tong recently and establish braid group actions for B\widetildeU by applying the BGP reflection functors to semi-derived Ringel-Hall algebras.