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math.RT2005★ 11 cited
Twisted symplectic reflection algebras
Tatyana Chmutova
In this paper we introduce the notion of twisted symplectic reflection algebras and describe the category of representations of such an algebra associated to a non-faithful G-actio…
math.RT2004
Representations of the rational Cherednik algebras of dihedral type
Tatyana Chmutova
In this paper we describe the Jordan-Holder series of the standard modules over the rational Cherednik algebras associated with the dihedral group. In particular, we compute the ch…
math.RT2003★ 2 cited
On some representations of the rational Cherednik algeba
Tatyana Chmutova, Pavel Etingof
We study lowest weight representations of the rational Cherednik algebra attached to a complex reflection group W. In particular, we generalize a number of previous results due to…