Classification of Lie Subalgebras up to an Inner Automorphism

Classification of Lie Subalgebras up to an Inner Automorphism

In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. After main resul...

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Main Author: Seyed Reza Hejazi
Format: Article
Language:English
Published: Shahrood University of Technology 2014-01-01
Series:Journal of Algebraic Systems
Subjects:
Lie algebra
vector fields
optimal system
Online Access:http://jas.shahroodut.ac.ir/article_231_7c2bfe95b378521e2f2c00a52d821f78.pdf
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spelling doaj-b9001e5bc29c4b578109292620e00bad2020-11-25T02:17:55ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2014-01-011211713310.22044/jas.2014.231231Classification of Lie Subalgebras up to an Inner AutomorphismSeyed Reza Hejazi0University of ShahroodIn this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras.http://jas.shahroodut.ac.ir/article_231_7c2bfe95b378521e2f2c00a52d821f78.pdfLie algebravector fieldsoptimal system
collection DOAJ
language English
format Article
sources DOAJ
author Seyed Reza Hejazi
spellingShingle Seyed Reza Hejazi
Classification of Lie Subalgebras up to an Inner Automorphism
Journal of Algebraic Systems
Lie algebra
vector fields
optimal system
author_facet Seyed Reza Hejazi
author_sort Seyed Reza Hejazi
title Classification of Lie Subalgebras up to an Inner Automorphism
title_short Classification of Lie Subalgebras up to an Inner Automorphism
title_full Classification of Lie Subalgebras up to an Inner Automorphism
title_fullStr Classification of Lie Subalgebras up to an Inner Automorphism
title_full_unstemmed Classification of Lie Subalgebras up to an Inner Automorphism
title_sort classification of lie subalgebras up to an inner automorphism
publisher Shahrood University of Technology
series Journal of Algebraic Systems
issn 2345-5128
2345-511X
publishDate 2014-01-01
description In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in different fields of mathematics. After main results, we have applied this procedure for classifying the Lie subalgebras of some examples of Lie algebras.
topic Lie algebra
vector fields
optimal system
url http://jas.shahroodut.ac.ir/article_231_7c2bfe95b378521e2f2c00a52d821f78.pdf
work_keys_str_mv AT seyedrezahejazi classificationofliesubalgebrasuptoaninnerautomorphism
_version_ 1724884212898594816

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