An averaging process for unipotent group actions

Yekutieli, Amnon

doi:10.1090/S1088-4165-06-00285-8

An averaging process for unipotent group actions
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by Amnon Yekutieli

Represent. Theory 10 (2006), 147-157

DOI: https://doi.org/10.1090/S1088-4165-06-00285-8

Published electronically: March 9, 2006

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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

Raoul Bott, Lectures on characteristic classes and foliations, Lectures on algebraic and differential topology (Second Latin American School in Math., Mexico City, 1971) Lecture Notes in Math., Vol. 279, Springer, Berlin, 1972, pp. 1–94. Notes by Lawrence Conlon, with two appendices by J. Stasheff. MR 0362335

12

Gerhard P. Hochschild, Basic theory of algebraic groups and Lie algebras, Graduate Texts in Mathematics, vol. 75, Springer-Verlag, New York-Berlin, 1981. MR 620024, DOI 10.1007/978-1-4613-8114-3
Reinhold Hübl and Amnon Yekutieli, Adelic Chern forms and applications, Amer. J. Math. 121 (1999), no. 4, 797–839. MR 1704478, DOI 10.1353/ajm.1999.0030
Maxim Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys. 66 (2003), no. 3, 157–216. MR 2062626, DOI 10.1023/B:MATH.0000027508.00421.bf
Amnon Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), no. 1, 383–432. MR 2183259, DOI 10.1016/j.aim.2005.06.009