»ã±¨±êÌâ (Title)£º¾­µäÀî´úÊýµÄÁ¿×Ó±äÔªÒÆλ²½Ö裨Quantum argument shift method for classical Lie algebras£©

»ã±¨ÈË (Speaker)£ºAlexander Molev (University of Sydney, Australia)

»ã±¨¹¦·ò (Time)£º2023Äê12ÔÂ11ÈÕ (ÖÜÒ») 10:00-11:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿ F309

Ô¼ÇëÈË(Inviter)£ºÕźìÁ« ½ÌÊÚ

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»ã±¨ÌáÒª£ºA 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.