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...
| Автори: | , |
|---|---|
| Формат: | Journal article |
| Мова: | English |
| Опубліковано: |
Elsevier
2007
|
| Предмети: |
| Резюме: | <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> |
|---|