On representations of cyclotomic Hecke algebras

Details On representations of cyclotomic Hecke algebras On representations of cyclotomic Hecke algebras

2010-12-28

arxiv.org/abs/1012.5844v1

Physics

Mathematical Physics

Scientific paper

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.

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