SECOND COHOMOLOGY OF aff(1) ACTING ON n-ARY DIFFERENTIAL OPERATORS

被引：1

作者：

Basdouri, Imed ^{[1
]}

Derbali, Ammar ^{[2
]}

Saidi, Soumaya ^{[2
]}

机构：

[1] Fac Sci Gafsa, Dept Math, Gafsa, Tunisia

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 01期

关键词：

cohomology; affine Lie algebras; n-ary linear differential operators;

D O I：

10.4134/BKMS.b170774

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the second cohomology of the affine Lie algebra aff(1) on the dimensional real space with coefficients in the space D-(lambda) under bar, (mu)n of n-ary linear differential operators acting on weighted densities where (lambda) under bar = (lambda(1), ..., lambda(n)). We explicitly give 2-cocycles spanning these cohomology.

引用

页码：13 / 22

页数：10

共 50 条

[1] aff(1)-INVARIANT n-ARY LINEAR DIFFERENTIAL OPERATOR AND COHOMOLOGY OF aff(1) ACTING ON n-ARY LINEAR DIFFERENTIAL OPERATORS
Okba, Basdouri
Elamine, Nasri
MATHEMATICAL REPORTS, 2016, 18 (04): : 557 - 565
[2] Cohomology of aff(1 | 1) acting on the space of n-ary linear differential operators on S1|1
Ben Ammar, Mabrouk
Boujelben, Maha
Jabeur, Amina
Sidaoui, Rabeb
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (02)
[3] Cohomology of sl(2) acting on the space of n-ary differential operators on R
Ben Ammar, Mabrouk
Sidaoui, Rabeb
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021, 52 (04): : 1263 - 1275
[4] Cohomology and deformation of aff(1|1) acting on differential operators
Basdouri, Khaled
Omri, Salem
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (05)
[5] First cohomology of aff(1) and aff(1|1) acting on linear differential operators
Basdouri, Imed
Boujelben, Maha
Derbali, Ammar
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (01)
[6] N-ary norm operators and TOPSIS
Luukka, Pasi
2020 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2020,
[7] Modules of n-ary differential operators over the orthosymplectic superalgebra osp(1|2)
Bichr, T.
Boujelben, J.
Saoudi, Z.
Tounsi, K.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (01):
[8] Cohomology of the vector fields Lie algebras on R acting on trilinear differential operators, vanishing on aff(1)
Basdouri, Imed
Nasri, Elamine
Mechi, Hassen
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (10)
[9] Cohomology of aff(2|1) acting on the space of linear differential operators on the superspace R1|2
Basdouri, Imed
Derbali, Ammar
Chraygui, Mohamed Elkhames
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13 (10)
[10] THE LINEAR aff(n|1)-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE R1|n AND aff(n|1)-RELATIVE COHOMOLOGY
Basdouri, Imed
Laraiedh, Ismail
Ncib, Othmen
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (04)

← 1 2 3 4 5 →