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math.QA2025
Quantum groups of Borcherds-Cartan type and Khovanov-Lauda-Rouquier algebras
Seok-Jin Kang, Young Rock Kim, Bolun Tong
We categorify a class of quantum groups associated with quivers, possibly with loops, by constructing the corresponding Khovanov-Lauda-Rouquier algebras (KLR) algebras . We prov…
math.QA2021
Braid group actions of quantum Borcherds-Bozec algebras
Zhaobing Fan, Bolun Tong
In this paper, we construct the Lusztig symmetries for quantum Borcherds-Bozec algebra and its weight module , on which the generators with real…
math.QA2021
Global bases for quantum Borcherds-Bozec algebras
Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1
We provide a construction of global bases for quantum Borcherds-Bozec algebras and their integrable highest weight representations.