3 papers
math.QA2026
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.RT2024
Categorification of quantum Borcherds-Bozec algebras
Seok-Jin Kang, Young Rock Kim, Bolun Tong
We categorify the quantum Borcherds-Bozec algebras by constructing their associated Khovanov-Lauda-Rouquier algebras.
math.QA2024
Perfect basis theory for quantum Borcherds-Bozec algebras
Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1
In this paper, we develop the perfect basis theory for quantum Borcherds-Bozec algebras and their irreducible highest weight modules . We show that the…