Remote Access Representation Theory
Green Open Access

Representation Theory

ISSN 1088-4165

 
 

 

An averaging process for unipotent group actions


Author: Amnon Yekutieli
Journal: Represent. Theory 10 (2006), 147-157
MSC (2000): Primary 14L30; Secondary 18G30, 20G15
DOI: https://doi.org/10.1090/S1088-4165-06-00285-8
Published electronically: March 9, 2006
MathSciNet review: 2219110
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [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

Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 14L30, 18G30, 20G15

Retrieve articles in all journals with MSC (2000): 14L30, 18G30, 20G15


Additional Information

DOI: https://doi.org/10.1090/S1088-4165-06-00285-8
Keywords: Unipotent group, torsor, simplicial set
Received by editor(s): May 11, 2005
Received by editor(s) in revised form: January 3, 2006
Published electronically: 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 28 years after publication.

American Mathematical Society