We study some natural representations of current Lie algebras, 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 the role of irreducible modules. In my talk, I will explain analogues of duality theorems, namely Peter-Weyl theorem, Schur-Weyl duality etc.
This video is part of the Non-Associative Day in Online, run by the European Non-Associative Algebra Seminar series.
