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Journal of Generalized Lie Theory and Applications

Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Deforming K(1) superalgebra modules of symbols

Abstract

Faouzi AMMAR and Kaouthar KAMOUN

We study nontrivial deformations of the natural action of the Lie superalgebra K(1) of contact vector elds on the (1; 1)-dimensional superspace R1j1 on the space of symbols e Sn  = Ln k=0 FÃ?´Ã?â?¬Ã?â?¬Ã?â?¬k2 . We calculate obstructions for integrability of in nitesimal multiparameter deformations and determine the complete local commutative algebra corresponding to the miniversal deformation.

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