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Mad Subalgebras of Rings of Differential Operators on Curves

Yuri Berest·George Wilson
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Abstract

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 subalgebras and of the space of all such. A surprising consequence is that this last space is independent of D. Our results generalize some classic theorems of Dixmier about the Weyl algebra.

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Yuri Berest, George Wilson. 2006-10-06. Mad Subalgebras of Rings of Differential Operators on Curves. https://arxiv.org/abs/math/0501191

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