COHOMOLOGY OF THE LIE SUPERALGEBRA OF CONTACT VECTOR FIELDS ON WEIGHTED DENSITIES ON THE SUPERSPACE K1|n

被引：0

作者：

Basdouri, Imed ^{[1
]}

Omri, Salem ^{[1
]}

机构：

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

来源：

MATHEMATICAL REPORTS | 2016年 / 18卷 / 01期

关键词：

cohomology; superalgebra; weighted densities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Over the (1,n)-dimensional real superspace, we compute the first differential cohomology of the Lie superalgebra K(n) with coefficients in the superspace F-lambda(n) of A-densities. Following Feigin and Fuchs, we explicitly give lambda-cocycles spanning these cohomology spaces.

引用

页数：8

共 37 条

[1] 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
[2] COHOMOLOGY OF THE LIE SUPERALGEBRA OF CONTACT VECTOR FIELDS ON K1|1 AND DEFORMATIONS OF THE SUPERSPACE OF SYMBOLS
Basdouri, Imed
Ben Ammar, Mabrouk
Ben Fraj, Nizar
Boujelbene, Maha
Kamoun, Kaouthar
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 16 (04) : 373 - 409
[3] Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂1|1 and Deformations of the Superspace of Symbols
Imed Basdouri
Mabrouk Ben Ammar
Nizar Ben Fraj
Maha Boujelbene
Kaouthar Kamoun
[J]. Journal of Nonlinear Mathematical Physics, 2009, 16 : 373 - 409
[4] On the cohomology of the Lie superalgebra of contact vector fields on S1|2
Agrebaoui, B.
Ben Fraj, N.
Omri, S.
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 13 (04) : 523 - 534
[5] ON THE COHOMOLOGY OF THE LIE SUPERALGEBRA OF CONTACT VECTOR FIELDS ON S1|m
Agrebaoui, B.
Mansour, S.
[J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (01) : 382 - 404
[6] On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
B. Agrebaoui
N. Ben Fraj
S. Omri
[J]. Journal of Nonlinear Mathematical Physics, 2006, 13 : 523 - 534
[7] ABOUT THE COHOMOLOGY OF THE LIE SUPERALGEBRA OF VECTOR FIELDS ON Rn|n
Faouzi, Ammar
Kaouthar, Kamoun
[J]. COMMUNICATIONS IN ALGEBRA, 2009, 37 (08) : 2679 - 2687
[8] The relative cohomology of the Lie superalgebra of contact vector fields on S1|2
Ben Praj, N.
Khalfoun, H.
Faidi, T.
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (12)
[9] ON aff(1)-RELATIVE COHOMOLOGY OF THE LIE ALGEBRA OF VECTOR FIELDS ON WEIGHTED DENSITIES ON R
Omri, Salem
[J]. MATHEMATICAL REPORTS, 2016, 18 (04): : 509 - 514
[10] 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)

← 1 2 3 4 →