Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on R1/n

被引：1

作者：

El Gomdi, Nabila ^{[1
]}

Messaoud, Rim ^{[2
]}

机构：

[1] Univ Sfax, Dept Math, Fac Sci Sfax, Lab Algebra Geometry & Theory Spectral, BP 802, Sfax 3038, Tunisia

[2] Univ Gafsa, Dept Math, Fac Sci Gafsa, Lab Algebra Geometry & Theory Spectral, Zarroug 2112, Gafsa, Tunisia

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 01期

关键词：

Cohomology; orthosymplectic superalgebra; weighted densities;

D O I：

10.1142/S0219887817500165

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the first differential cohomology of the orthosymplectic Lie superalgebra osp(n vertical bar 2) with coefficients in the superspace of weighted densities S-lambda(n) on the (1, 2)-dimensional real superspace. We explicitly give 1-cocycles spanning these cohomologies. This work is the simplest generalization of a result by Basdouri and Essayari [On cohomology of the orthosymplectic superalgebra, Acta Math. Hangar. 130(1-2) (2011) 155-166].

引用

页数：9

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
Basdouri, Imed
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (01) : 35 - 50
[3] 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
[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] First space cohomology of the orthosymplectic Lie superalgebra osp(3|2) in the Lie superalgebra of superpseudodifferential operators
Agrebaoui, Boujemaa
Basdouri, Imed
Elghomdi, Nabila
Hammami, Sarra
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2016, 7 (02) : 141 - 155
[6] On osp(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on R1|1
Nizar, Ben Fraj
Abdaoui, Meher
Hamza, Raouafi
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (02)
[7] COHOMOLOGY OF THE LIE SUPERALGEBRA OF CONTACT VECTOR FIELDS ON WEIGHTED DENSITIES ON THE SUPERSPACE K1|n
Basdouri, Imed
Omri, Salem
[J]. MATHEMATICAL REPORTS, 2016, 18 (01):
[8] 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
[9] Second cohomology of the Lie superalgebra of contact vector fields on weighted densities on the superspace K1|n
Messaoud, Rim
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2022, 175
[10] The binary invariant differential operators on weighted densities on the superspace R1|n and cohomology
Ben Ammar, Mabrouk
Ben Fraj, Nizar
Omri, Salem
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (04)

← 1 2 3 4 5 →