On representations of cyclotomic Hecke algebras

Abstract

An approach, based on Jucys--Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys--Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without use of the representation theory.

References in corpus (2)

• Baxterized Solutions of Reflection Equation and Integrable Chain Models
• Jucys--Murphy elements and representations of cyclotomic Hecke algebras

Cited by in corpus (5)

• Induced representations and traces for chains of affine and cyclotomic Hecke algebras
• Fusion procedure for the walled Brauer algebra
• On representations of complex reflection groups G(m,1,n)
• Fused Hecke algebra and one-boundary algebras
• Cyclotomic shuffles