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Yangian-type algebras and double Poisson brackets

组织者

尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫

演讲者

Nikita Safonkin

时间

2023年09月26日 16:00 至 18:00

地点

A6-101

摘要

Let A be an arbitrary associative algebra. With the help of Olshanski’s centralizer construction one can define a sequence Y_1(A), Y_2(A),... of "Yangian-type algebras" (they possess a number of properties of the Yangians of series A). I will discuss a link between these Yangian-type algebras and a class of double Poisson brackets on free associative algebras. The talk is based on the joint paper with Grigori Olshanski arXiv:2308.13325.