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...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2007
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| Subjects: |
| _version_ | 1826290549763604480 |
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| author | Berest, Y Wilson, G |
| author_facet | Berest, Y Wilson, G |
| author_sort | Berest, Y |
| collection | OXFORD |
| description | <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> |
| first_indexed | 2024-03-07T02:45:54Z |
| format | Journal article |
| id | oxford-uuid:ac0f2370-b51b-4c48-8d30-7c416e488a2b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:45:54Z |
| publishDate | 2007 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:ac0f2370-b51b-4c48-8d30-7c416e488a2b2022-03-27T03:26:03ZMad subalgebras of rings of differential operators on curvesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ac0f2370-b51b-4c48-8d30-7c416e488a2bMathematicsEnglishOxford University Research Archive - ValetElsevier2007Berest, YWilson, G<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> |
| spellingShingle | Mathematics Berest, Y Wilson, G Mad subalgebras of rings of differential operators on curves |
| title | Mad subalgebras of rings of differential operators on curves |
| title_full | Mad subalgebras of rings of differential operators on curves |
| title_fullStr | Mad subalgebras of rings of differential operators on curves |
| title_full_unstemmed | Mad subalgebras of rings of differential operators on curves |
| title_short | Mad subalgebras of rings of differential operators on curves |
| title_sort | mad subalgebras of rings of differential operators on curves |
| topic | Mathematics |
| work_keys_str_mv | AT beresty madsubalgebrasofringsofdifferentialoperatorsoncurves AT wilsong madsubalgebrasofringsofdifferentialoperatorsoncurves |