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卢明: Quantum symmetric pairs via Hall algebras

发布时间:2026-06-25
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来源:数学学院

报告时间2026年7月3日(星期五)10:00-10:45

报告地点:翡翠湖校区科教楼B1711室

报 告 人:卢明 教授

工作单位:四川大学

举办单位:数学学院

报告简介

A quantum symmetric pair consists of a quantum group U and its coideal subalgebra Ui. The Hall algebra constructions of U and Ui are given by Bridgeland and Lu-Wang, respectively. In this paper, we construct a Hall algebra framework for the coideal subalgebra structure of Ui in U, and for the quantum symmetric pair (U,Ui). As an application, we prove that the natural embedding of Ui in U, and the coproduct preserve the integral forms of Ui and U, which are used to construct the dual canonical bases. This is based on joint works with  Weiqiang Wang and Zhuoyi Zhao.

报告人简介

卢明,四川大学教授,国家人才计划(青年学者),研究兴趣为代数表示论与李理论。目前主要从事量子群和i-量子群的Hall代数实现和几何实现的研究,在Proc. London Math. Soc, Adv. Math, Comm. Math.Phys., Selecta Math., Trans. AMS等数学杂志上发表40余篇论文。

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