Eulerian idempotent and Kashiwara-Vergne conjecture

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dc.creatorBurgunder, Emily
dc.date2006-12-19
dc.date.accessioned2026-07-07T07:36:03Z
dc.date.available2026-07-07T07:36:03Z
dc.descriptionBy using the interplay of the Eulerian idempotent and the Dynkin idempotent, we construct explicitly a particular symmetric solution (F,G) of the first equation of the Kashiwara-Vergne conjecture: x+y-log(exp(y)exp(x))=(1-exp(-ad x))F(x,y)+(exp(ad y)-1)G(x,y) . Then, we explicit all the solutions of the equation in the completion of the free Lie algebra generated by two indeterminates x and y thanks to the kernel of the Dynkin idempotent.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0612548
dc.identifierhttp://arxiv.org/abs/math/0612548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120296
dc.subjectQuantum Algebra
dc.subject17A50; 16W; 17B01; 17A; 22E
dc.titleEulerian idempotent and Kashiwara-Vergne conjecture
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