Resumen de Mad subalgebras of rings of differential operators on curves

Yuri Berest, George Wilson

• 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.