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arxiv: math/0702712 · v3 · pith:AUJ5CC5Mnew · submitted 2007-02-23 · 🧮 math.RT

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

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keywords deformationsactionsymbolstrivialvectbecomeconditionsconsider
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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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