11 citations · 13 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Calculating canonical distinguished involutions in the affine Weyl groups
Tanya Chmutova, Viktor Ostrik
Distinguished involutions in the affine Weyl groups, defined by G. Lusztig, play an essential role in the Kazhdan-Lusztig combinatorics of these groups. A distinguished involution…