Agrebaoui, Boujemaâ; Basdouri, Imed; Boujelben, Maha The second cohomology spaces of \(\mathcal{K} (1)\) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on \(S^{1|1} \). (English) Zbl 07708346 Georgian Math. J. 30, No. 3, 321-327 (2023). MSC: 17B56 17B63 53D55 PDFBibTeX XMLCite \textit{B. Agrebaoui} et al., Georgian Math. J. 30, No. 3, 321--327 (2023; Zbl 07708346) Full Text: DOI
Basdouri, Imed; Derbali, Ammar; Chraygui, Mohamed Elkhames Cohomology of \(\mathfrak{aff}(1|1)\) acting on the space of bilinear differential operators on the superspace \(\mathbb{R}^{1|1}\). (English) Zbl 1474.53323 Casp. J. Math. Sci. 9, No. 2, 305-320 (2020). MSC: 53D55 17B56 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Casp. J. Math. Sci. 9, No. 2, 305--320 (2020; Zbl 1474.53323) Full Text: DOI
Basdouri, Imed; Hammami, Sarra; Messaoud, Olfa Second cohomology space of \(\mathfrak{sl}(2)\) acting on the space of bilinear bidifferential operators. (English) Zbl 1445.53063 Rev. Unión Mat. Argent. 61, No. 1, 131-143 (2020). Reviewer: Jian-Jian Jiang (Ningde) MSC: 53D55 14F10 17B10 17B68 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Rev. Unión Mat. Argent. 61, No. 1, 131--143 (2020; Zbl 1445.53063) Full Text: DOI
Basdouri, Imed; Derbali, Ammar; Saidi, Soumaya Second cohomology of \(\mathfrak{aff}(1)\) acting on \(n\)-ary differential operators. (English) Zbl 1459.17036 Bull. Korean Math. Soc. 56, No. 1, 13-22 (2019). Reviewer: Benjamin Cahen (Metz) MSC: 17B56 17B67 53D55 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Bull. Korean Math. Soc. 56, No. 1, 13--22 (2019; Zbl 1459.17036) Full Text: DOI
Fraj, Nizar Ben; Khalfoun, Hafedh; Basdouri, Imed On \({\mathfrak {osp}}(n| 2)\)-relative cohomology on \(\mathbb R^{1| n}\). (English) Zbl 1413.53130 Stud. Sci. Math. Hung. 54, No. 3, 298-315 (2017). MSC: 53D55 14F10 17B10 17B68 PDFBibTeX XMLCite \textit{N. B. Fraj} et al., Stud. Sci. Math. Hung. 54, No. 3, 298--315 (2017; Zbl 1413.53130) Full Text: DOI
Basdouri, Imed; Nasri, Elamine; Mechi, Hassen Cohomology of the vector fields Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators, vanishing on \(\mathfrak{aff}(1)\). (English) Zbl 1400.17009 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750150, 28 p. (2017). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750150, 28 p. (2017; Zbl 1400.17009) Full Text: DOI
Basdouri, Imed; Derbali, Ammar; Chraygui, Mohamed Elkhames Cohomology of \(\mathfrak{aff}(2| 1)\) acting on the space of linear differential operators on the superspace \(\mathbb{R}^{1| 2}\). (English) Zbl 1391.17018 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650124, 12 p. (2016). Reviewer: Anatoliy Petravchuk (Kyiv) MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650124, 12 p. (2016; Zbl 1391.17018) Full Text: DOI
Agrebaoui, Boujemaa; Basdouri, Imed; Elghomdi, Nabila; Hammami, Sarra First space cohomology of the orthosymplectic Lie superalgebra \(\mathfrak {osp}(3|2)\) in the Lie superalgebra of superpseudodifferential operators. (English) Zbl 1391.17016 J. Pseudo-Differ. Oper. Appl. 7, No. 2, 141-155 (2016). MSC: 17B56 47F05 53D55 PDFBibTeX XMLCite \textit{B. Agrebaoui} et al., J. Pseudo-Differ. Oper. Appl. 7, No. 2, 141--155 (2016; Zbl 1391.17016) Full Text: DOI
Basdouri, Imed; Boujelben, Maha; Derbali, Ammar First cohomology of \(\mathfrak{aff}(1)\) and \(\mathfrak{aff}(1|1)\) acting on linear differential operators. (English) Zbl 1391.17017 Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1550130, 11 p. (2016). MSC: 17B56 17B66 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 1, Article ID 1550130, 11 p. (2016; Zbl 1391.17017) Full Text: DOI
Basdouri, Imed; Laraiedh, Ismail The linear \(\mathfrak{osp}(n|2)\)-invariant differential operators and cohomology. (English) Zbl 1310.17013 Beitr. Algebra Geom. 55, No. 2, 637-643 (2014). Reviewer: Anatoliy Petravchuk (Kyiv) MSC: 17B66 17B56 53D55 PDFBibTeX XMLCite \textit{I. Basdouri} and \textit{I. Laraiedh}, Beitr. Algebra Geom. 55, No. 2, 637--643 (2014; Zbl 1310.17013) Full Text: DOI
Basdouri, Imed; Laraiedh, Ismail; Ncib, Othmen The linear \(\mathfrak{aff}(n|1)\)-invariant differential operators on weighted densities on the superspace \(\mathbb R^{1|n}\) and \(\mathfrak{aff}(n|1)\)-relative cohomology. (English) Zbl 1266.53082 Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1320004, 9 p. (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 17B56 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1320004, 9 p. (2013; Zbl 1266.53082) Full Text: DOI
Basdouri, Imed First space cohomology of the orthosymplectic Lie superalgebra in the Lie superalgebra of superpseudodifferential operators. (English) Zbl 1263.53084 Algebr. Represent. Theory 16, No. 1, 35-50 (2013). MSC: 17B56 17B66 53D55 PDFBibTeX XMLCite \textit{I. Basdouri}, Algebr. Represent. Theory 16, No. 1, 35--50 (2013; Zbl 1263.53084) Full Text: DOI
Basdouri, I.; Ben Ammar, M. Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols. (English) Zbl 1274.17028 Acta Math. Hung. 137, No. 3, 214-223 (2012). Reviewer: A. L. Onishchik (Yaroslavl) MSC: 17B56 53D55 58H15 PDFBibTeX XMLCite \textit{I. Basdouri} and \textit{M. Ben Ammar}, Acta Math. Hung. 137, No. 3, 214--223 (2012; Zbl 1274.17028) Full Text: DOI arXiv
Basdouri, I.; Sayari, E. On the cohomology of the orthosymplectic superalgebra. (English) Zbl 1240.53149 Acta Math. Hung. 130, No. 1-2, 155-166 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 17B56 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} and \textit{E. Sayari}, Acta Math. Hung. 130, No. 1--2, 155--166 (2011; Zbl 1240.53149) Full Text: DOI
Basdouri, Imed; Ben Ammar, Mabrouk; Dali, Béchir; Omri, Salem Deformation of \(\mathfrak{vect}(1)\)-modules of symbols. (English) Zbl 1195.47048 J. Geom. Phys. 60, No. 3, 531-542 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 47L15 53D55 53D17 PDFBibTeX XMLCite \textit{I. Basdouri} et al., J. Geom. Phys. 60, No. 3, 531--542 (2010; Zbl 1195.47048) Full Text: DOI arXiv
Basdouri, Imed; Ben Ammar, Mabrouk Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\). (English) Zbl 1138.53066 Lett. Math. Phys. 81, No. 3, 239-251 (2007). MSC: 53D55 58A50 17B56 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} and \textit{M. Ben Ammar}, Lett. Math. Phys. 81, No. 3, 239--251 (2007; Zbl 1138.53066) Full Text: DOI arXiv