ON SOME STRUCTURAL PROPERTIES OF SEMIDIRECT SUMS OF so(3) AND ABELIAN LIE ALGEBRAS

被引：1

作者：

Campoamor-Stursberg, Rutwig ^{[1
]}

机构：

[1] UCM, Inst Matemcit Interdisciplinar, Plaza Ciencias 3, E-28040 Madrid, Spain

来源：

PROCEEDINGS OF THE TWENTY-SECOND INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION | 2021年 / 22卷

关键词：

cohomology; contraction; real representation; stable Lie algebra; DEFORMATIONS; CONTRACTION; RIGIDITY;

D O I：

10.7546/giq-22-2021-88-106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various structural properties of semidirect sums of the rotation Lie algebra of rank one and an Abelian algebra described in terms of real representations with at most two irreducible constituents are obtained. The stability properties of these semidirect sums are studied by means of the cohomological and the Jacobi scheme methods.

引用

页码：88 / 106

页数：19

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