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Some noncommutative algebras of classical type and Dunkl operators

Hold Date 2013-08-05 15:00~2013-08-05 16:00

Place Seminar Room 1, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Anatol N. Kirillov (RIMS)

Abstract: 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.