Mad subalgebras of rings of differential operators on curves

• Autores: Yuri Berest, George Wilson
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 212, Nº 1, 2007, págs. 163-190
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.09.018
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• Resumen

  • We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains 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 . Our results generalize some classic theorems of Dixmier about the Weyl algebra.