On the Azumaya locus of almost commutative algebras
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Abstract:
We prove a general statement which implies the coincidence of the Azumaya and smooth loci of the center of an algebra in positive characteristic, provided that the spectrum of its associated graded algebra has a large symplectic leaf. In particular, we show that for a symplectic reflection algebra, the smooth and the Azumaya loci coincide.References
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Additional Information
- Akaki Tikaradze
- Affiliation: Department of Mathematics, The University of Toledo, Toledo, Ohio 43606
- MR Author ID: 676866
- Email: atikara@utnet.utoledo.edu
- Received by editor(s): November 24, 2009
- Received by editor(s) in revised form: April 18, 2010, and June 2, 2010
- Published electronically: November 10, 2010
- Communicated by: Gail R. Letzter
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1955-1960
- MSC (2010): Primary 17B35
- DOI: https://doi.org/10.1090/S0002-9939-2010-10642-1
- MathSciNet review: 2775371