EVENT DETAILS AND ABSTRACT

Title: Representation theory and special functions: a new approach
Speaker: Professor Alexander Kirillov Jr.
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

We suggest a new way to construct special functions using intertwining operators between representations of Lie groups (or Lie algebras, quantum groups, affine Lie algebras...) This generalizes the classical approach and gives a number of interesting special functions, including Macdonald's polynomials, Lame functions, etc. This also allows us to prove easily a number of properties of these functions.