62 citations · 222 across the 14 of their papers we have counts for
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math.RT2009★ 15 cited
Quasi-Invariants of Complex Reflection Groups
Yuri Berest, Oleg Chalykh
We introduce quasi-invariant polynomials for an arbitrary finite complex reflection group W. Unlike in the Coxeter case, the space Q_k of quasi-invariants of a given multiplicity i…
math.RT2008★ 2 cited
Ideals of Rings of Differential Operators on Algebraic Curves (With an Appendix by George Wilson)
Yuri Berest, Oleg Chalykh
Let X be a complex smooth affine irreducible curve, and let D = D(X) be the ring of global differential operators on X. In this paper, we give a geometric classification of left id…
math.RT2007
Recollement of Deformed Preprojective Algebras and the Calogero-Moser Correspondence
Yuri Berest, Oleg Chalykh, Farkhod Eshmatov
The aim of this paper is to clarify the relation between the following objects: rank 1 projective modules (ideals) over the first Weyl algebra $ A_1(\C)$; simple mo…