BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dominique Manchon (Clermont Auvergne University\, France) DTSTART:20240909T150000Z DTEND:20240909T160000Z DTSTAMP:20260423T021130Z UID:ENAAS/85 DESCRIPTION:Title: P ost-Lie algebras\, post-groups and Gavrilov's K-map\nby Dominique Manc hon (Clermont Auvergne University\, France) as part of European Non-Associ ative Algebra Seminar\n\n\nAbstract\nPost-Lie algebras appeared in 2007 in algebraic combinatorics\, and independently in 2008 in the study of numer ical schemes on homogeneous spaces. Gavrilov's K-map is a particular Hopf algebra isomorphism\, which can be naturally described in the context of f ree post-Lie algebras. Post-groups\, which are to post-Lie algebras what g roups are to Lie algebras\, were defined in 2023 by C. Bai\, L. Guo\, Y. S heng and R. Tang. Although skew-braces and braided groups are older equiva lent notions\, their reformulation as post-groups brings crucial new infor mation on their structure. After giving an account of the above-mentioned structures\, I shall introduce free post-groups\, and describe a group iso morphism which can be seen as an analogon of Gavrilov's K-map for post-gro ups. Based on joint work with M. J. H. Al-Kaabi and K. Ebrahimi-Fard.\n LOCATION:https://researchseminars.org/talk/ENAAS/85/ END:VEVENT END:VCALENDAR