Ringel-Hall algebra construction of quantum Borcherds-Bozec algebras
Seok-Jin Kang
TL;DR
This paper constructs the positive half of quantum Borcherds-Bozec algebras using Ringel-Hall algebras derived from quivers with loops, providing a new algebraic realization.
Contribution
It introduces a novel Ringel-Hall algebra construction for quantum Borcherds-Bozec algebras based on quivers with loops.
Findings
Established a new algebraic construction method
Connected quiver representations with quantum Borcherds-Bozec algebras
Provided a framework for further algebraic exploration
Abstract
We give the Ringel-Hall algebra construction of the positive half of quantum Borcherds-Bozec algebras as the generic composition algebras of quivers with loops.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons