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Sino-Russian Mathematics Center-JLU Colloquium(2024-003)—Free post-groups, post-groups from group actions and post-Lie algebras

发表于: 2024-01-25   点击: 

报告题目:Free post-groups, post-groups from group actions and post-Lie algebras

报 告 人:Dominique Manchon

所在单位:Université Clermont-Auvergne

报告时间:2024年2月1日 20:00-22:00

报告地点:ZOOM Id:904 645 6677,Password:2023

会议链接:https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09


报告摘要: After providing a short review on the recently introduced notion of post-group by C. Bai, L. Guo, Y. Sheng and R. Tang, we will exhibit post-group and weak post-group counterparts of important post-Lie algebras in the literature, including the infinite-dimensional post-Lie algebra of Lie group integrators. The notion of free post-group will be examined, and a group isomorphism between the two group structures associated to a free post-group, reminiscent to A. Gavrilov's K-map in differential geometry, will be described. This is a joint work with Mahdi Jasim Hasan Al-Kaabi (Mustansiriyah University, Baghdad, Iraq) and Kurusch Ebrahimi-Fard (NTNU, Trondheim, Norway).


报告人简介:Dominique Manchon Chargé de Recherches (senior researcher) at CNRS, Laboratoire de Mathématiques Blaise Pascal, Université Clermont-Auvergne, Clermont-Ferrand, France. His research interests are Lie groups and Lie algebras, Hopf algebras and algebraic combinatorics.