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Argument shift method for the universal enveloping algebras

组织者

尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫

演讲者

Georgy Sharygin

时间

2023年10月31日 16:00 至 17:00

地点

A6-101

摘要

Argument shift method is a construction that produces a commutative subalgebra of a Poisson algebra by differentiating its central elements along a suitable vector field. An important particular case of this situation is when the Poisson algebra is equal to the space of (polynomial) functions on a dual space of a Lie algebra $g$. In my talk I will discuss an attempt to raise this procedure to the universal enveloping algebra of $g$. Based on a joint work with Y.Ikeda and A.Molev.