报告题目：Embedding of Loday algebras into Rota-Baxter algebras
报 告 人：Vsevolod Gubarev（Sobolev Institute of Mathematics，Novosibirsk State University）
报告时间：2021年11月12日 15:00 – 17：00
报告地点：Zoom会议 ID： 862 062 0549，会议密码： 2021
报告摘要：The classical Poincare–Birkhoff–Witt states that every Lie algebra injectively embeds into its universal enveloping associative algebra and this enveloping algebra in some sense does not depend on the Lie product (PBW-property). It is known that every Rota–Baxter algebra of weight 0/1 gives rise to a prealgebra/postalgebra. In 2013, it was proved that every pre- or postalgebra injectively embeds into appropriate Rota–Baxter algebra of weight 0 or 1 respectively. We study the structure and the PBW-property of the universal enveloping Rota–Baxter algebra of a pre- and post-Lie algebra.
报告人简介：Vsevolod Gubarev ，Senior researcher in Sobolev Institute of Mathematics and senior teacher in Novosibirsk State University (both in Novosibirsk, Russia). Area of interest: ring theory.