First space cohomology of the orthosymplectic Lie superalgebra osp(3|2) in the Lie superalgebra of superpseudodifferential operators

被引：0

作者：

Agrebaoui, Boujemaa ^{[1
]}

Basdouri, Imed ^{[2
]}

Elghomdi, Nabila ^{[2
]}

Hammami, Sarra ^{[2
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia

[2] Univ Gafsa, Fac Sci Gafsa, Dept Math, Zarroug 2112, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2016年 / 7卷 / 02期

关键词：

Cohomology; Orthosymplectic superalgebra; Superpseudodifferential operators; Poisson superalgebra; CONTACT VECTOR-FIELDS; ALGEBRA;

D O I：

10.1007/s11868-015-0140-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the first cohomology space associated with the embedding of the Lie Orthosymplectic superalgebra osp(3 vertical bar 2) on the (1,3)-dimensional superspace R-1 vertical bar 3 in the Lie superalgebra S psi DO(3) of superpseudodifferential operators with smooth coefficients. Following Ovsienko and Roger, we give explicit expressions of the basis cocycles.

引用

页码：141 / 155

页数：15

共 50 条

[1] FIRST COHOMOLOGY SPACE OF THE ORTHOSYMPLECTIC LIE SUPERALGEBRA osp(n|2) IN THE LIE SUPERALGEBRA OF SUPERPSEUDODIFFERENTIAL OPERATORS
Boujelben, M.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2022, 74 (06) : 871 - 882
[2] First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
Imed Basdouri
[J]. Algebras and Representation Theory, 2013, 16 : 35 - 50
[3] First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
Basdouri, Imed
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (01) : 35 - 50
[4] Second cohomology space of the orthosymplectic Lie superalgebra with coefficients in the Lie superalgebra of superpseudodifferential operators
Ncib, Othmen
Omri, Salem
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2016, 107 : 99 - 113
[5] Deforming the orthosymplectic Lie superalgebra inside the Lie superalgebra of superpseudodifferential operators
Ncib, Othmen
Omri, Salem
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2014, 86 : 211 - 221
[6] Deformation of orthosymplectic Lie superalgebra osp(1|4)
Celeghini, E
Kulish, PP
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (20): : L211 - L216
[7] Low Dimensional Homology Groups of the Orthosymplectic Lie Superalgebra osp (1, 2)
Biyogmam, Guy Roger
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 7 (04): : 395 - 404
[8] First space cohomology of the orthosymplectic Lie superalgebra osp(3|2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak {osp}}(3|2)$$\end{document} in the Lie superalgebra of superpseudodifferential operators
Boujemaa Agrebaoui
Imed Basdouri
Nabila Elghomdi
Sarra Hammami
[J]. Journal of Pseudo-Differential Operators and Applications, 2016, 7 (2) : 141 - 155
[9] Representations of the orthosymplectic Lie superalgebra osp(1/4) and paraboson coherent states
Chakrabarti, R.
Stoilova, N. I.
Van der Jeugt, J.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (08)
[10] ON TENSOR-OPERATORS OF THE LIE SUPERALGEBRA OSP(1,2)
ZENG, GJ
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (16): : 5425 - 5433

← 1 2 3 4 5 →