- Date
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Tuesday 17 December 2024, 16.00 - 17.00
- Abstract
- The vector fields on a Lie group, and more generally the smooth maps from a smooth manifold $M$ into the Lie algebra $\mathfrak{g}$ of a Lie group $G$ acting on $M$, form a post-Lie algebra. After recalling the definition of a post-group (also known as skew-brace), we give the structure of weak post-group on $C^\infty(M,G)$ and show how to recover the above mentioned post-Lie algebra from it. We also give the construction of the free post-group generated by a left-regular diagonal magma. This class of magmas includes quandles. Joint work with Mahdi Al-Kaabi and Kurusch Ebrahimi-Fard.
