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1-cocycles on the group of contactomorphisms on the supercircles S-1 vertical bar 1 and S-1 vertical bar 2 generalizing the Schwarzian derivative
Journal article   Open access  Peer reviewed

1-cocycles on the group of contactomorphisms on the supercircles S-1 vertical bar 1 and S-1 vertical bar 2 generalizing the Schwarzian derivative

Boujemaa Agrebaoui, Oussama Dammak and Sabeur Mansour
Journal of geometry and physics, Vol.75, pp.230-247
01/01/2014
DOI: https://doi.org/10.1016/j.geomphys.2013.10.003

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
We give an explicit construction of the 1-cocycles of the group of contactomorphisms on the supercircle S-1 vertical bar m for m = 1, 2, with coefficients in the space of differential operators acting on S-1 vertical bar m-tensor densities. We show that they satisfy properties similar to those of the super-Schwarzian derivative. (C) 2013 Elsevier B.V. All rights reserved.
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https://doi.org/10.1016/j.geomphys.2013.10.003View
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