Unitary representations of Hecke algebras of complex reflection groups
نویسنده
چکیده
We begin the study of unitary representations of Hecke algebras of complex reflections groups. We obtain a complete classification for the Hecke algebra of the symmetric group Sn over the complex numbers. Interestingly, the unitary representations in the category O for the rational Cherednik algebra of type A studied in [ESG] correspond to the unitary representations of the corresponding Hecke algebra via the KZ functor defined in [GGOR].
منابع مشابه
Unitary Representations of Rational
We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric group, the dihedral group, as well as some additional partial results. We also study the unitary representations of Hecke algebras of complex reflection groups and provide a co...
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