Adjoint representation

en

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Adjoint representation

Quality:

Adjoint representation - representation of a Lie group on its Lie algebra. Article “Adjoint representation” in English Wikipedia has 31.7 points for quality (as of July 1, 2025). The article contains 6 references and 12 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Adjoint representation”, its content was written by 80 registered users of English Wikipedia and edited by 145 registered Wikipedia users in all languages.

The article is cited 232 times in English Wikipedia and cited 505 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14949 in August 2003
  • Global: #24691 in August 2003

The highest popularity rank from 2008:

  • Local (English): #193230 in March 2010
  • Global: #292475 in April 2010

There are 11 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
1English (en)
Adjoint representation
31.6948
2Portuguese (pt)
Representação adjunta (grupo de Lie)
17.9726
3Chinese (zh)
伴随表示
15.2293
4Italian (it)
Rappresentazione aggiunta
13.7835
5German (de)
Adjungierte Darstellung
8.2056
6Ukrainian (uk)
Приєднане представлення групи Лі
6.8462
7Korean (ko)
딸림표현
5.3682
8Russian (ru)
Присоединённое представление группы Ли
5.3218
9French (fr)
Représentation adjointe
4.8429
10Spanish (es)
Representación adjunta
3.6434
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 "Adjoint representation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Adjoint representation
710 582
2Japanese (ja)
随伴表現
21 521
3German (de)
Adjungierte Darstellung
20 171
4Chinese (zh)
伴随表示
17 744
5Russian (ru)
Присоединённое представление группы Ли
16 235
6French (fr)
Représentation adjointe
15 316
7Italian (it)
Rappresentazione aggiunta
3 604
8Korean (ko)
딸림표현
2 620
9Portuguese (pt)
Representação adjunta (grupo de Lie)
1 649
10Spanish (es)
Representación adjunta
680
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 "Adjoint representation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Adjoint representation
3 136
2Japanese (ja)
随伴表現
189
3German (de)
Adjungierte Darstellung
170
4Chinese (zh)
伴随表示
125
5French (fr)
Représentation adjointe
71
6Italian (it)
Rappresentazione aggiunta
68
7Russian (ru)
Присоединённое представление группы Ли
62
8Spanish (es)
Representación adjunta
27
9Korean (ko)
딸림표현
18
10Portuguese (pt)
Representação adjunta (grupo de Lie)
7
More...

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

The highest AI

Language versions of the article "Adjoint representation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Adjoint representation
80
2German (de)
Adjungierte Darstellung
14
3French (fr)
Représentation adjointe
11
4Russian (ru)
Присоединённое представление группы Ли
11
5Japanese (ja)
随伴表現
7
6Italian (it)
Rappresentazione aggiunta
5
7Ukrainian (uk)
Приєднане представлення групи Лі
5
8Chinese (zh)
伴随表示
5
9Spanish (es)
Representación adjunta
3
10Korean (ko)
딸림표현
2
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 "Adjoint representation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Adjungierte Darstellung
0
2English (en)
Adjoint representation
0
3Spanish (es)
Representación adjunta
0
4French (fr)
Représentation adjointe
0
5Italian (it)
Rappresentazione aggiunta
0
6Japanese (ja)
随伴表現
0
7Korean (ko)
딸림표현
0
8Portuguese (pt)
Representação adjunta (grupo de Lie)
0
9Russian (ru)
Присоединённое представление группы Ли
0
10Ukrainian (uk)
Приєднане представлення групи Лі
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 "Adjoint representation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Adjoint representation
232
2Korean (ko)
딸림표현
61
3German (de)
Adjungierte Darstellung
40
4Japanese (ja)
随伴表現
33
5Chinese (zh)
伴随表示
30
6French (fr)
Représentation adjointe
24
7Russian (ru)
Присоединённое представление группы Ли
22
8Ukrainian (uk)
Приєднане представлення групи Лі
20
9Spanish (es)
Representación adjunta
16
10Portuguese (pt)
Representação adjunta (grupo de Lie)
14
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
Adjungierte Darstellung
enEnglish
Adjoint representation
esSpanish
Representación adjunta
frFrench
Représentation adjointe
itItalian
Rappresentazione aggiunta
jaJapanese
随伴表現
koKorean
딸림표현
ptPortuguese
Representação adjunta (grupo de Lie)
ruRussian
Присоединённое представление группы Ли
ukUkrainian
Приєднане представлення групи Лі
zhChinese
伴随表示

Popularity rank trends

Best Rank English:
#193230
03.2010
Global:
#292475
04.2010

AI rank trends

Best Rank English:
#14949
08.2003
Global:
#24691
08.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Adjoint representation from Wikipedia articles about Adjoint, Killing form, Derivative of the exponential map, Coadjoint representation and Lie group. Whereas reading the article about Adjoint representation people most often go to Wikipedia articles on Lie group, Adjoint representation of a Lie algebra, Lie algebra, Automorphism group and Coadjoint representation.

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