aff(1)-INVARIANT n-ARY LINEAR DIFFERENTIAL OPERATOR AND COHOMOLOGY OF aff(1) ACTING ON n-ARY LINEAR DIFFERENTIAL OPERATORS

被引：0

作者：

Okba, Basdouri ^{[1
]}

Elamine, Nasri ^{[1
]}

机构：

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

来源：

MATHEMATICAL REPORTS | 2016年 / 18卷 / 04期

关键词：

affine Lie superalgebra; differential operators; cohomology; weighted densities; LIE-ALGEBRAS; DEFORMATION; RINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the off (1)-module structure on the spaces of n-ary linear differential operators acting on the spaces of weighted densities. We classify off (1)-invariant n-ary linear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie algebra off (1) with coefficients in n-ary linear differential operators acting on the spaces of weighted densities.

引用

页码：557 / 565

页数：9

共 50 条

[1] SECOND COHOMOLOGY OF aff(1) ACTING ON n-ARY DIFFERENTIAL OPERATORS
Basdouri, Imed
Derbali, Ammar
Saidi, Soumaya
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (01) : 13 - 22
[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] 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)
[4] 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
[5] 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)
[6] 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):
[7] (n + 1)-Ary derivations of simple n-ary algebras
I. B. Kaygorodov
Algebra and Logic, 2011, 50 : 470 - 471
[8] 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)
[9] The binary aff(n¦1)-invariant differential operators on weighted densities on the superspace R1¦n and aff(n¦1)-relative cohomology
Basdouri, Khaled
Omri, Salem
Swilah, Wissal
JOURNAL OF GEOMETRY AND PHYSICS, 2018, 123 : 235 - 245
[10] N-ary norm operators and TOPSIS
Luukka, Pasi
2020 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2020,

← 1 2 3 4 5 →