Fedosov quantization in positive characteristic
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- by R. Bezrukavnikov and D. Kaledin
- J. Amer. Math. Soc. 21 (2008), 409-438
- DOI: https://doi.org/10.1090/S0894-0347-07-00585-1
- Published electronically: November 26, 2007
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Abstract:
We study the problem of deformation quantization for (algebraic) symplectic manifolds over a base field of positive characteristic. We prove a reasonably complete classification theorem for one class of such quantizations; in the course of doing it, we also introduce a notion of a restricted Poisson algebra – the Poisson analog of the standard notion of a restricted Lie algebra – and we prove a version of the Darboux Theorem valid in the positive characteristic setting.References
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Bibliographic Information
- R. Bezrukavnikov
- Affiliation: Department of Mathematics, Massachusets Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 347192
- Email: bezrukav@math.mit.edu
- D. Kaledin
- Affiliation: Steklov Institute, Gubkina 8, Moscow, 119991, Russia
- MR Author ID: 634964
- Received by editor(s): October 7, 2005
- Published electronically: November 26, 2007
- Additional Notes: The first author was partially supported by NSF grant DMS-0071967.
The second author was partially supported by CRDF grant RM1-2694-MO05. - © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 21 (2008), 409-438
- MSC (2000): Primary 14M99
- DOI: https://doi.org/10.1090/S0894-0347-07-00585-1
- MathSciNet review: 2373355