Seok-Jin Kang, Young-Rock Kim
Published 2019-12-12Version 1
We investigate the fundamental properties of quantum Borcherds-Bozec algebras and their representations. Among others, we prove that the quantum Borcherds-Bozec algebras have a triangular decomposition and the category of integrable representations is semi-simple.
Cores of graded algebras with triangular decomposition
Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras
Perfect Basis Theory for Quantum Borcherds-Bozec Algebras
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