Mad Subalgebras of Rings of Differential Operators on Curves

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dc.creatorBerest, Yuri
dc.creatorWilson, George
dc.date2005-01-12
dc.date2006-10-06
dc.date.accessioned2026-07-07T06:39:17Z
dc.date.available2026-07-07T06:39:17Z
dc.descriptionWe 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.
dc.descriptionRevised (and slightly extended) version, 25 pages; to appear in Advances in Math. (2007)
dc.identifierhttps://arxiv.org/abs/math/0501191
dc.identifierhttp://arxiv.org/abs/math/0501191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101018
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleMad Subalgebras of Rings of Differential Operators on Curves
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