Quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras
Ming Lu

TL;DR
This paper constructs quantum Borcherds-Bozec algebras using semi-derived Ringel-Hall algebras of quivers with loops, providing a new algebraic realization approach.
Contribution
It introduces a novel realization of quantum Borcherds-Bozec algebras via semi-derived Ringel-Hall algebras of quivers with loops.
Findings
Realization of quantum Borcherds-Bozec algebras through semi-derived Ringel-Hall algebras
Extension of Ringel-Hall algebra techniques to quivers with loops
Connection established between algebraic structures and quiver representations
Abstract
We use semi-derived Ringel-Hall algebras of quivers with loops to realize the whole quantum Borcherds-Bozec algebras and quantum generalized Kac-Moody algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
