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math.QA2005
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…
math.QA2002★ 1 cited
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…
math.QA2001
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…