sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols

Details sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols

2007-02-23

arxiv.org/abs/math/0702712v3

SIGMA 4 (2008), 065, 19 pages

Mathematics

Representation Theory

This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geome

Scientific paper

10.3842/SIGMA.2008.065

We consider the action of Vect_{Pol}(R) by Lie derivative on the spaces of
symbols of differential operators. We study the deformations of this action
that become trivial once restricted to sl(2). Necessary and sufficient
conditions for integrability of infinitesimal deformations are given.

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