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Lyndon bases of split $\imath$quantum groups
Published 28 Feb 2025 in math.QA and math.RT | (2502.20958v1)
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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