报告题目 (Title)：经典李代数的量子变元移位方法（Quantum argument shift method for classical Lie algebras）

报告人 (Speaker)：Alexander Molev (University of Sydney, Australia)

报告时间 (Time)：2023年12月11日 (周一) 10:00-11:00

报告地点 (Place)：校本部 F309

邀请人(Inviter)：张红莲 教授

主办部门：理学院数学系

报告摘要：A family of Poisson-commutative subalgebras of the symmetric algebra S(g) of a Lie algebra g is produced by the argument shift method going back to Mishchenko and Fomenko (1978). When g is simple, these subalgebras can be lifted to the universal enveloping algebra U(g) thus solving Vinberg’s quantization problem. Explicit generators of the commutative subalgebras of U(g) in type A were produced in our joint work with V. Futorny (2015). We will demonstrate that such subalgebras in types A,B,C and D can be produced by using quasi-derivations in U(g). This is a joint work with Y. Ikeda and G. Sharygin.