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arXiv · 2604.04396

Quantum Borcherds-Bozec Superalgebras

Zhaobing Fan·Jiaqi Huang
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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.

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Zhaobing Fan, Jiaqi Huang. 2026-04-06. Quantum Borcherds-Bozec Superalgebras. https://arxiv.org/abs/2604.04396

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