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arXiv · 2502.20958

Lyndon bases of split $\imath$quantum groups

Run-Qiang Jian·Li Luo·Xianfa Wu
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Abstract

We introduce and study Lyndon bases of split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{g})$. A relationship between the Lyndon bases and PBW-type bases was provided. As an application, we establish the existence of canonical bases for the type A split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{sl}_n)$.

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Run-Qiang Jian, Li Luo, Xianfa Wu. 2025-02-28. Lyndon bases of split $\imath$quantum groups. https://arxiv.org/abs/2502.20958

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