Yangian-type algebras and double Poisson brackets-清华大学求真书院

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Yangian-type algebras and double Poisson brackets

来源： 09-26

时间：2023-09-26 Tue 16:00-18:00

地点：Venue: A6-1 ZOOM: 873 9209 0711（PW: BIMSA

组织者：Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

主讲人：Nikita Safonkin University of Reims Champagne-Ardenne & Skolkovo Institute of Science and Technology

Abstract

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.

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书院学术

Yangian-type algebras and double Poisson brackets

The centralizer construction and Yangian-type algebras

Mini-course on Springer theory for double affine Hecke algebras (1/3)

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