Derivation Lie algebras of semidirect sums

Suppose that L = L 1 ⋉ L 2 is a semidirect sum of two Lie algebras. In this article, we first obtain the structure of Der ( L : L 2 ) the subalgebra of Der ( L ) that consists of those derivations mapping L 2 to itself. Then we investigate some conditions under which Der ( L : L 2 ) is also a semidi...

Full description

Saved in:
Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 69; no. 2; pp. 653 - 663
Main Authors Barati, M., Saeedi, F., Alemi, M. R.
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.08.2020
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Geometry
Lie groups
Mapping
Mathematics
Mathematics and Statistics
Semidirect sum
Derivation
17B56
Cohomology of Lie algebra
Primary 17B40
Secondary 18G60
Online AccessGet full text

Cover

More Information
Summary:Suppose that L = L 1 ⋉ L 2 is a semidirect sum of two Lie algebras. In this article, we first obtain the structure of Der ( L : L 2 ) the subalgebra of Der ( L ) that consists of those derivations mapping L 2 to itself. Then we investigate some conditions under which Der ( L : L 2 ) is also a semidirect sum.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-019-00424-1