30 citations · 31 across the 5 of their papers we have counts for
8 papers
Mad Subalgebras of Rings of Differential Operators on Curves
Yuri Berest, George Wilson
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivalent to the first Weyl algebra. We give a complete description both of the individual mad…
Differential Isomorphism and Equivalence of Algebraic Varieties
Yuri Berest, George Wilson
In this survey article we discuss the question: to what extent is an algebraic variety determined by its ring of differential operators? In the case of affine curves, this question…
A Remark on Letzter-Makar-Limanov Invariants
Yuri Berest
We give a natural cohomological interpretation of Letzter-Makar-Limanov invariants for rings of differential operators on algebraic curves.
Finite dimensional representations of rational Cherednik algebras
Yuri Berest, Pavel Etingof, Victor Ginzburg
A complete classification and character formulas for finite-dimensional irreducible representations of the rational Cherednik algebra of type A is given. Less complete results for…
Morita Equivalence of Cherednik Algebras
Yuri Berest, Pavel Etingof, Victor Ginzburg
We classify the rational Cherednik algebras H_c(W) (and their spherical subalgebras) up to isomorphism and Morita equivalence in case when W is the symmetric group and `c' is a gen…
Ideal Classes of the Weyl Algebra and Noncommutative Projective Geometry (with an Appendix by M. Van den Bergh)
Yuri Berest, George Wilson
Let R be the set of isomorphism classes of ideals in the Weyl algebra , and let C be the set of isomorphism classes of triples (V; X, Y), where V is a finite-dimensional (…