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СЕМИНАРЫ |
Совместный общематематический семинар СПбГУ и Пекинского Университета
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Post-groups, post-groupoids and the Yang-Baxter equation Yu. Sheng Jilin University |
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Аннотация: We introduce the notion of post-groups, which are the underlying structures of Rota-Baxter operators on groups. The differentiation of post-Lie groups gives post-Lie algebras. Post-groups are also related to braces and Lie-Butcher groups, and give rise to set-theoretical solutions of Yang-Baxter equations. We further introduce the notion of post-groupoids, whose differentiations are post-Lie algebroids. We show that post-groupoids give quiver-theoretical solutions of the Yang-Baxter equation on the underlying quiver of the subadjacent groupoids. The talk is based on the joint work with Chengming Bai, Li Guo, Rong Tang and Chenchang Zhu. Язык доклада: английский Website: https://meeting.tencent.com/dm/4QQJhY7AzVyi * Tencent Meeting ID: 962-4352-9417 Password: 202403 |