中央研究院數學研究所

Taipei Postdoc Seminar

Irreducible Modules for the Cyclotomic Hecke Algebra and Jucys-Murphy Elements

2026/04/08 (Wed.) 14:00~15:00

Date : 2026/04/08 (Wed.) 14:00~15:00
Location : Room 509, Cosmology Building, NTU
Speaker : Cailan Li (Academia Sinica)
Organizer : Wille Liu (AS), Harry Richman (NCTS)
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.