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On representations of cyclotomic Hecke algebras
Published 28 Dec 2010 in math-ph, math.MP, math.QA, and math.RT | (1012.5844v1)
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.
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