Abstract: Cyclotomic Hecke algebras are natural deformations of group algebras of complex reflection groups and play an important role in representation theory. In the semisimple case, we will explain how irreducible modules for cyclotomic Hecke algebras arise from calibrated representations of the affine Hecke algebra (of type A). As an application, we then show that the center of the cyclotomic Hecke algebra is exactly the algebra of symmetric polynomials in the Jucys-Murphy elements, generalizing the classical symmetric group case.

 

Organizers: Harry Richman (NCTS) & Wille Liu (Academia Sinica)