4 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…
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 (…
Automorphisms and Ideals of the Weyl Algebra
Yuri Berest, George Wilson
Let be the (first) Weyl algebra, and let be its automorphism group. We study the natural action of on the space of isomorphism classes of right ideals of (equiv…