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Title

A note on semidirect sum of Lie algebras

Authors 1

Affiliations

  1. The State Higher Vocational School in Gorzów Wlkp., Technical Institute, ul. Mysliborska 34, 66-400 Gorzów Wlkp., Poland

Abstract

In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well.

Keywords

ENG
Lie algebra, subalgebra, ideal, center, semidirect sum, homomorphism, derivation, Killing form

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Discussiones Mathematicae - General Algebra and Applications
2013/33/2
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Pages:
233-247
Main language of publication
English
Received
2013-07-02
Accepted
2013-08-05
Published
2013

DOI: 10.7151/dmgaa.1208

Exact and natural sciences