Levi decomposition

en

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Levi decomposition

Quality:

Levi decomposition theorem - a finite dimensional Lie algebra is a semidirect product of a normal solvable ideal and a semisimple subalgebra. Article “Levi decomposition” in English Wikipedia has 12.9 points for quality (as of July 1, 2025). The article contains 2 references and 5 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Levi decomposition”, its content was written by 30 registered users of English Wikipedia and edited by 38 registered Wikipedia users in all languages.

The article is cited 37 times in English Wikipedia and cited 52 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #93634 in October 2005
  • Global: #192229 in October 2005

The highest popularity rank from 2008:

  • Local (English): #640576 in April 2013
  • Global: #1094260 in April 2013

There are 4 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Satz von Levi (Lie-Algebra)
22.64
2English (en)
Levi decomposition
12.9415
3Serbian (sr)
Леви-Маљцев теорем
11.5605
4Spanish (es)
Descomposición de Levi
9.8619
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Levi decomposition" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Levi decomposition
107 534
2German (de)
Satz von Levi (Lie-Algebra)
3 931
3Spanish (es)
Descomposición de Levi
381
4Serbian (sr)
Леви-Маљцев теорем
204
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Levi decomposition" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Levi decomposition
929
2German (de)
Satz von Levi (Lie-Algebra)
20
3Spanish (es)
Descomposición de Levi
16
4Serbian (sr)
Леви-Маљцев теорем
4
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Levi decomposition" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Levi decomposition
30
2German (de)
Satz von Levi (Lie-Algebra)
5
3Spanish (es)
Descomposición de Levi
2
4Serbian (sr)
Леви-Маљцев теорем
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Levi decomposition" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Levi (Lie-Algebra)
0
2English (en)
Levi decomposition
0
3Spanish (es)
Descomposición de Levi
0
4Serbian (sr)
Леви-Маљцев теорем
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Levi decomposition" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Levi decomposition
37
2German (de)
Satz von Levi (Lie-Algebra)
7
3Spanish (es)
Descomposición de Levi
7
4Serbian (sr)
Леви-Маљцев теорем
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Satz von Levi (Lie-Algebra)
enEnglish
Levi decomposition
esSpanish
Descomposición de Levi
srSerbian
Леви-Маљцев теорем

Popularity rank trends

Best Rank English:
#640576
04.2013
Global:
#1094260
04.2013

AI rank trends

Best Rank English:
#93634
10.2005
Global:
#192229
10.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Levi decomposition theorem from Wikipedia articles about Semisimple Lie algebra, Solvable Lie algebra, Radical of a Lie algebra, Langlands program and Nilradical of a Lie algebra. Whereas reading the article about Levi decomposition theorem people most often go to Wikipedia articles on Lie group decomposition, Eugenio Elia Levi, Radical of a Lie algebra, Semidirect product and Solvable Lie algebra.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information