Abstract
We study nontrivial deformations of the natural action of the Lie superalgebra $\mathcal{K}(1)$ of contact vector fields on the $(1,1)$-dimensional superspace $\mathbb{R}^{1|1}$ on the space of symbols $\widetilde{{\mathcal{S}}}_\delta^n=\bigoplus_{k=0}^n{\mathfrak{F}}_{\delta-\frac{k}{2}}$. We calculate obstructions for integrability of infinitesimal multiparameter deformations and determine the complete local commutative algebra corresponding to the miniversal deformation.
Citation
Faouzi AMMAR. Kaouthar KAMOUN. "Deforming $\mathcal{K}(1) $ superalgebra modules of symbols." J. Gen. Lie Theory Appl. 3 (2) 95 - 111, May 2009. https://doi.org/10.4303/jglta/S090202
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