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Reference: Yuri Berest and George Wilson, (2007). Mad subalgebras of rings of differential operators on curves. Advances in Mathematics, 212 (1), 163–190.Citable link to this page:


Mad subalgebras of rings of differential operators on curves

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

Publication status:PublishedPeer Review status:Peer reviewedVersion:Publisher's versionDigital Origin:Born digital Funder: National Science Foundation   Funder: Alfred P. Sloan Foundation   Notes:© 2006 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at (accessed 19/02/2014).

Bibliographic Details

Publisher: Elsevier Inc.

Publisher Website:

Host: Advances in Mathematicssee more from them

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Issue Date: 2007-June

Copyright Date: 2006



Issn: 0001-8708

Urn: uuid:ac0f2370-b51b-4c48-8d30-7c416e488a2b Item Description

Type: Article: post-print;

Language: en

Version: Publisher's versionKeywords: Rings of differential operators Maximal commutative subalgebras of differential operators The first Weyl algebraSubjects: Mathematics Tiny URL: ora:8085


Autor: Yuri Berest - institutionCornell University facultyDepartment of Mathematics - - - George Wilson - institutionUniversity of Oxfor



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