Braid群源于量子对称对在泊松齐次空间的作用

2025.06.24

投稿:邵奋芬部门:理学院浏览次数:

活动信息

报告题目 (Title):Braid group actions on the Poisson homogeneous spaces arising from quantum symmetric pairs(Braid群源于量子对称对在泊松齐次空间的作用)

报告人 (Speaker):张伟楠 博士(香港大学)

报告时间 (Time):2025年6月24日(周二)15:30

报告地点 (Place):校本部GJ303

邀请人(Inviter):黄红娣

主办部门:理学院数学系

报告摘要:The fundamental work of De Concini-Kac-Procesi shows that one can recover the dual Poisson Lie group G? by taking a suitable semi-classical limit on quantum groups. The quantum symmetric pairs are quantization of symmetric pairs,and they involve coideal subalgebras of quantum groups, called i-quantum groups.

Recently, Song obtained a class of (dual) Poisson homogeneous K⊥\G?spaces by taking suitable semi-classical limits on i-quantum groups. In this talk, using the braid group actions on i-quantum groups, we will construct braid group actions and polynomial generators for the coordinate algebra O(K⊥\G?). This is joint with Jinfeng Song (National University of Singapore).