Authors:
Imed BasdouriDépartement de Mathématiques, Faculté des Sciences de Gafsa, Zarroug, 2112 Gafsa, Tunisie

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Mabrouk Ben AmmarDépartement de Mathématiques, Faculté des Sciences de Sfax, BP 802, 3038 Sfax, Tunisie

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Abstract

We consider the -module structure on the spaces of symbols of differential operators acting on the spaces of weighted densities. We compute the necessary and sufficient integrability conditions of a given infinitesimal deformation of this structure and prove that any formal deformation is equivalent to its infinitesimal part. We study also the super analogue of this problem getting the same results.

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  • [2] Agrebaoui, B. Ben Fraj, N. Ben Ammar, M. Ovsienko, V. 2003 Deformation of modules of differential forms Nonlinear Math. Physics 10 148156 .

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  • [3] Basdouri, I. Ben Ammar, M. 2007 Cohomology of acting on linear differential operators on the supercercle S1|1 Letters in Mathematical Physics 81 239251 .

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  • [4] Basdouri, I. Ben Ammar, M. Ben Fraj, N. Boujelbene, M. Kammoun, K. 2009 Cohomology of the Lie superalgebra of contact vector fields on ℝ1|1 and deformations of the superspace of symbols J. Nonlinear Math. Physics 16 137.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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