Title：Free post-groups, post-groups from group actions and post-Lie algebras
Reporter：Dominique Manchon
Work Unit：Université Clermont-Auvergne
Time：Feb.1 9:00-11:00
Address：ZOOM Id：904 645 6677，Password：2023
Link: https://us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09
Summary of the report:
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).
Introduction of the Reporter:
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.
