Journal article
Mad subalgebras of rings of differential operators on curves
- Abstract:
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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:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 271.6KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2006.09.018
Authors
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 212
- Issue:
- 1
- Pages:
- 163–190
- Publication date:
- 2007-06-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0001-8708
- Language:
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English
- Keywords:
- Subjects:
- UUID:
-
uuid:ac0f2370-b51b-4c48-8d30-7c416e488a2b
- Local pid:
-
ora:8085
- Deposit date:
-
2014-02-25
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2006
- Notes:
- © 2006 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 19/02/2014).
- Licence:
- Other
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