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...
প্রধান লেখক: | , |
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বিন্যাস: | Journal article |
ভাষা: | English |
প্রকাশিত: |
Elsevier
2007
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বিষয়গুলি: |
সংক্ষিপ্ত: | <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> |
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