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Representation Theory

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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
Published electronically: 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.

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Additional Information

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.