BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yunhe Sheng (Jilin University\, China) DTSTART:20230508T090000Z DTEND:20230508T100000Z DTSTAMP:20260423T052548Z UID:ENAAS/18 DESCRIPTION:Title: R ota-Baxter operators and post-groups\nby Yunhe Sheng (Jilin University \, China) as part of European Non-Associative Algebra Seminar\n\n\nAbstrac t\nRota-Baxter operators on Lie algebras were first studied by Belavin\, D rinfeld and Semenov-Tian-Shansky as operator forms of the classical Yang-B axter equation. Integrating the Rota-Baxter operators on Lie algebras\, we introduce the notion of Rota-Baxter operators on Lie groups and more gene rally on groups. Then the factorization theorem can be achieved directly o n groups. We introduce the notion of post-Lie groups\, whose differentiati ons are post-Lie algebras. A Rota-Baxter operator on a group naturally ind uces a post-group. Post-groups are also closely related to operads\, brace s\, Lie-Butcher groups and various structures.\n LOCATION:https://researchseminars.org/talk/ENAAS/18/ END:VEVENT END:VCALENDAR