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An averaging process for unipotent group actions
Author:
Amnon Yekutieli
Journal:
Represent. Theory 10 (2006), 147-157
MSC (2000):
Primary 14L30; Secondary 18G30, 20G15
Posted:
March 9, 2006
MathSciNet review:
2219110
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Abstract: We present an averaging process for sections of a torsor under a unipotent group. This process allows one to integrate local sections of such a torsor into a global simplicial section. The results of this paper have applications to deformation quantization of algebraic varieties.
References
- [Bo]
R. Bott, ``Lectures on Characteristic Classes and Polarizations'', Lecture Notes in Math. 279, Springer, Berlin, 1972. MR 0362335 (50:14777)
- [GK]
I.M. Gelfand and D.A. Kazhdan, Some problems of differential geometry and the calculation of cohomologies of Lie algebras of vector fields, Soviet Math. Dokl. 12 (1971), no. 5, 1367-1370.
- [Ho]
G. Hochschild, ``Basic Theory of Algebraic Groups and Lie Algebras,'' Springer-Verlag, 1981. MR 0620024 (82i:20002)
- [HY]
R. Hübl and A. Yekutieli, Adelic Chern forms and applications, Amer. J. Math. 121 (1999), 797-839. MR 1704478 (2000h:14016)
- [Ko]
M. Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003), no. 3, 157-216. MR 2062626 (2005i:53122)
- [Ye]
A. Yekutieli, Deformation Quantization in Algebraic Geometry, Adv. Math. 198 (2005), 383-432. MR 2183259
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Additional Information
Amnon Yekutieli
Affiliation:
DOI:
http://dx.doi.org/10.1090/S1088-4165-06-00285-8
PII:
S 1088-4165(06)00285-8
Keywords:
Unipotent group,
torsor,
simplicial set
Received by editor(s):
May 11, 2005
Received by editor(s) in revised form:
January 3, 2006
Posted:
March 9, 2006
Additional Notes:
This work was partially supported by the US -- Israel Binational Science Foundation
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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