Mad subalgebras of rings of differential operators on curves

<p>We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains <em>D</em> 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...

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Bibliografische gegevens
Hoofdauteurs: Berest, Y, Wilson, G
Formaat: Journal article
Taal:English
Gepubliceerd in: Elsevier 2007
Onderwerpen:
Omschrijving
Samenvatting:<p>We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains <em>D</em> 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 <em>D</em>. Our results generalize some classic theorems of Dixmier about the Weyl algebra.</p>