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arXiv · 2302.05012

Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras II: braid group actions

Ji Lin·Ming Lu·Shiquan Ruan
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Abstract

Based on the realization of quantum Borcherds-Bozec algebra $\widetilde{\mathbf{U}}$ and quantum generalized Kac-Moody algebra ${}^B\widetilde{\mathbf{U}}$ via semi-derived Ringel-Hall algebra of a quiver with loops, we deduce the braid group actions of $\widetilde{\mathbf{U}}$ introduced by Fan and Tong recently and establish braid group actions for ${}^B\widetilde{\mathbf{U}}$ by applying the BGP reflection functors to semi-derived Ringel-Hall algebras.

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Ji Lin, Ming Lu, Shiquan Ruan. 2023-02-10. Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras II: braid group actions. https://arxiv.org/abs/2302.05012

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