报告主题: Argument shift method for the universal enveloping algebras
报告人: Georgy Sharygin
报告时间: 2023年10月26日(星期四)下午15:00-16:00
报告地点: 37号楼3A02
邀请人: 刘明副教授,常智华副教授
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数学学院
2023年10月25日
报告摘要:
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