Search Results - "Imed, Basdouri"
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Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
Published in Archives of control sciences (01-01-2023)“…This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of…”
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ℎ-Stability of set differential equations
Published in Archives of control sciences (01-01-2023)“…In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using…”
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On (1 | 2)-Relative Cohomology on S 1|1
Published in Communications in algebra (03-04-2014)“…We compute the second (1 | 2) −relative cohomology space of (1) with coefficients in the module of λ-densities λ on S 1|1 . This result allows us to compute…”
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4
First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
Published in Algebras and representation theory (01-02-2013)“…We investigate the first cohomology space associated with the embedding of the Lie Orthosymplectic superalgebra on the (1,n)-dimensional superspace ℝ 1| n in…”
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5
First Cohomology of the Lie Algebra of Vector Fields on the Affine Real Line Relative to Affine Vector Fields with Coefficients in Bilinear Differential Operators on Weighted Densities
Published in Bulletin of the Iranian Mathematical Society (01-12-2022)“…The main result of this paper is to compute the a ( 1 ) -relative 1 - cohomology space of the Lie algebra Vect ( R ) , with coefficients in the space of binary…”
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Second cohomology space of $\mathfrak{sl}(2)$ acting on the space of bilinear bidifferential operators
Published in Revista de la Unión Matemática Argentina (1968) (29-06-2020)Get full text
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7
Construction of supermodular forms using differential operators from a given supermodular form
Published in Journal of geometry and physics (01-12-2019)“…B.P. Cohen, Y. Manin and D. Zagier introduced the definition of supermodular form in Cohen et al. (1997). In the present paper, we also review the definition…”
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The linear osp(n|2)-invariant differential operators and cohomology
Published in Beiträge zur Algebra und Geometrie (01-10-2014)“…Over the ( 1 , n ) -dimensional real superspace, we consider the Lie superalgebra K ( n ) of contact vector fields on R 1 | n . We classify osp ( n | 2 )…”
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The linear $$\mathfrak {osp}(n|2)$$ osp ( n | 2 ) -invariant differential operators and cohomology
Published in Beiträge zur Algebra und Geometrie (01-10-2014)Get full text
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10
Classification of ($\rho,\tau,\sigma$)-derivations of two-dimensional left-symmetric dialgebras
Published 08-11-2024“…We introduce and study a generalized form of derivations for dendriform algebras, specifying all admissible parameter values that define these derivations…”
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11
Deformation of $\mathfrak{sl}\, (2)$ and $\mathfrak{osp}\, (1|2)$ -modules of symbols
Published in Acta mathematica Hungarica (01-11-2012)Get full text
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12
First space cohomology of the orthosymplectic Lie superalgebra osp(3|2) in the Lie superalgebra of superpseudodifferential operators
Published in Journal of pseudo-differential operators and applications (01-06-2016)“…We investigate the first cohomology space associated with the embedding of the Lie Orthosymplectic superalgebra osp ( 3 | 2 ) on the (1,3)-dimensional…”
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13
Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras
Published 14-11-2024“…In this paper, we introduce the concepts of quasi-centroid and quasi-derivation for Zinbiel algebras. Utilizing the classification results of Zinbiel algebras…”
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14
Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications
Published 12-03-2024“…In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight $\mathrm{\lambda}$ with derivations (or simply modified Rota-Baxter…”
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15
Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations
Published 09-02-2024“…The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter…”
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16
Deformation of and -modules of symbols
Published in Acta mathematica Hungarica (01-11-2012)“…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…”
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17
Maurer-Cartan characterization and cohomology of compatible LieDer and AssDer pairs
Published 23-11-2023“…A LieDer pair (respectively, an AssDer pair) is a Lie algebra equipped with a derivation (respectively, an associative algebra equipped with a derivation). A…”
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On the Hom-Lie CoDer pairs
Published 01-07-2023“…The present research paper investigates the intricate fields of Hom-Lie algebra and Hom-Lie coalgebra, providing a complete analysis of their key concepts and…”
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Twisted Lie algebras by invertible derivations
Published 25-05-2023“…In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its…”
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Classification, $\alpha$-Inner Derivations and $\alpha$-Centroids of Finite-Dimensional Complex Hom-Trialgebras
Published 30-04-2023“…In the current research work, our basic objective is to investigate the stucture of Hom-associative trialgebras. Next, we build up one important class of…”
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