Braid Group Action and Quantum Queer Superalgebra

2024/06/16 by Jianmin Chen, Zhenhua Li, Chen, Jianmin +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2406.10784

openalex publication_date 2024/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present explicit actions of braid group on the universal enveloping superalgebra \boldsymbol U(\mathfrakq_n) and the quantum queer superalgebra \boldsymbol U_ v(\mathfrakq_n). Then we provide a new definition of root vectors and some explicit expression for them. With these procedures, we obtain the PBW-type basis containing the product of root vectors.

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• Quantum queer superalgebra and its integral form

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