分野別セミナー

I introduce some class of noncommutative algebras together with distinguish commutative subalgebras inside each, the so-called "Dunkl subalgebras". To simplify exposition I will explain in more details only the case of algebras of type A. I will describe the set of defining relations in the Dunkl subalgebras, with applications to Schubert Calculus, Special Functions and Integrable Systems, if time will allow.