Braid group actions of quantum Borcherds-Bozec algebras

DOI10.1016/j.jalgebra.2022.12.038OpenAlexW3202849573MaRDI QIDQ2689194

Bolun Tong, Zhaobing Fan

Publication date: 9 March 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03367

zbMATH Keywords

inner productbraid group actionquantum Borcherds-Bozec algebraLusztig symmetry

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of quivers and partially ordered sets (16G20)

Related Items (1)

Quantum Borcherds–Bozec algebras via semi‐derived Ringel–Hall algebras II: Braid group actions

Cites Work

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• Canonical bases for quantum generalized Kac-Moody algebras.
• Quantum deformations of generalized Kac-Moody algebras and their modules
• Global bases for quantum Borcherds-Bozec algebras
• Classical limit of quantum Borcherds-Bozec algebras
• Quivers with loops and perverse sheaves
• Quivers with loops and generalized crystals
• Canonical Bases Arising from Quantized Enveloping Algebras
• Canonical Bases of Borcherds-Cartan Type
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Introduction to quantum groups

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