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Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 15, 2017 14:30, Moscow, Skolkovo Institute of Science and Technology, room 303


Mishchenko–Fomenko subalgebras for centralizers and affine W-algebras

A. Premet

University of Manchester, UK


https://youtu.be/N2GgEaplwTk

Abstract: Let L be the centralizer of a nilpotent element in a finite dimensional semisimple Lie algebra. In my talk, based on a joint work with Arakawa, I will explain how to lift Mishchenko-Fomenko subalgebras of S(L) to commutative subalgebras of U(L). The construction relies in a crucial way on affine W-algebras at the critical level.

Language: English


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