Academics

Duality theorems for current algebras

Time:2023-04-07 Fri 17:00-18:30

Venue:Venue: Online ZOOM:815 4690 4797(PW: BIMSA)

Organizer:Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker:Ievgen Makedonskyi BIMSA

Abstract

We study some natural representations of current Lie algebras $g\otimes \Bbbk[t]$, called Weyl modules. They are natural analogues of irreducible representations of simple Lie algebras. There are several current analogues of classical theorems about Lie algebras where these modules «play role» of irreducible modules. In my talk I will explain analogues of duality theorems, namely Peter-Weyl theorem, Schur-Weyl duality etc.

DATEApril 7, 2023
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