Quantum Borcherds-Bozec Superalgebras
Quantum Algebra
2026-04-07 v1
Abstract
We introduce quantum Borcherds-Bozec superalgebras. We present and prove various results of the quantum superalgebras including a bilinear form, higher Serre relation, quasi-R-matrix, character formula for the irreducible highest weight modules. We also prove the category of integrable representations is semi-simple.
Cite
@article{arxiv.2604.04396,
title = {Quantum Borcherds-Bozec Superalgebras},
author = {Zhaobing Fan and Jiaqi Huang},
journal= {arXiv preprint arXiv:2604.04396},
year = {2026}
}