Deformations of modules of differential forms

J. Nonlinear Math. Phys., volume 10, no. 2 (2003) 148-156 We study non-trivial deformations of the natural action of the Lie algebra $\mathrm{Vect}({\mathbb R}^n)$ on the space of differential forms on ${\mathbb R}^n$. We calculate abstractions for integrability of infinitesimal multi-parameter defo...

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Hauptverfasser: Agrebaoui, B, Ammar, M. Ben, Fraj, N. Ben, Ovsienko, V
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Sprache:eng
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Zusammenfassung:J. Nonlinear Math. Phys., volume 10, no. 2 (2003) 148-156 We study non-trivial deformations of the natural action of the Lie algebra $\mathrm{Vect}({\mathbb R}^n)$ on the space of differential forms on ${\mathbb R}^n$. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of \cite{ff}.
DOI:10.48550/arxiv.math/0310494