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SUMMARY:Paul Laubie (University of Strasbourg)
DTSTART:20240617T150000Z
DTEND:20240617T160000Z
DTSTAMP:20260423T052454Z
UID:ENAAS/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/75/">C
 ombinatorics of free pre-Lie algebras and algebras with several pre-Lie pr
 oducts sharing the Lie bracket</a>\nby Paul Laubie (University of Strasbou
 rg) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nUsi
 ng the theory of algebraic operads\, we give a combinatorial description o
 f free pre-Lie algebras (also known as left-symmetric algebras) with roote
 d trees. A numerical coincidence hints a similar description for algebras 
 with several pre-Lie products sharing the Lie bracket using rooted Greg tr
 ees which are rooted trees with black and white vertices such that black v
 ertices have at least two children. We then show that those Greg trees can
  be used to give a description of the free Lie algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/75/
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