Categorification of quantum Borcherds-Bozec algebras
Seok-Jin Kang, Young Rock Kim, Bolun Tong
TL;DR
This paper develops a categorification framework for quantum Borcherds-Bozec algebras by constructing their associated Khovanov-Lauda-Rouquier algebras, advancing the understanding of their algebraic structure.
Contribution
It introduces a novel categorification approach for quantum Borcherds-Bozec algebras using Khovanov-Lauda-Rouquier algebras, expanding the tools for studying these algebras.
Findings
Construction of Khovanov-Lauda-Rouquier algebras for Borcherds-Bozec algebras
Establishment of categorification of quantum Borcherds-Bozec algebras
Enhanced understanding of algebraic structures through categorification
Abstract
We categorify the quantum Borcherds-Bozec algebras by constructing their associated Khovanov-Lauda-Rouquier algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models