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

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