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

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