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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Detalles Bibliográficos
Autores principales: Berest, Y, Wilson, G
Formato: Journal article
Lenguaje:English
Publicado: Elsevier 2007
Materias:
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Sumario:<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>