Representação adjunta (grupo de Lie)

pt

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Representação adjunta (grupo de Lie)

Quality:

Adjoint representation - representation of a Lie group on its Lie algebra. Article "Representação adjunta (grupo de Lie)" in Portuguese Wikipedia has 18.1 points for quality (as of November 1, 2023). The article contains 3 references and 0 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Representação adjunta (grupo de Lie)", its content was written by 2 registered users of Portuguese Wikipedia and edited by 134 registered Wikipedia users in all languages.

The article is cited 14 times in Portuguese Wikipedia and cited 468 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Portuguese): #69154 in September 2019
  • Global: #24699 in August 2003

The highest popularity rank from 2008:

  • Local (Portuguese): #294900 in June 2020
  • Global: #293190 in April 2010

There are 10 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Adjoint representation
31.8049
2Portuguese (pt)
Representação adjunta (grupo de Lie)
18.0533
3Chinese (zh)
伴随表示
15.3182
4Italian (it)
Rappresentazione aggiunta
13.8039
5German (de)
Adjungierte Darstellung
8.2485
6Ukrainian (uk)
Приєднане представлення групи Лі
6.9548
7Korean (ko)
딸림표현
5.3882
8Russian (ru)
Присоединённое представление группы Ли
5.3189
9French (fr)
Représentation adjointe
4.8446
10Japanese (ja)
随伴表現
2.1073
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 "Representação adjunta (grupo de Lie)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Adjoint representation
635 068
2Japanese (ja)
随伴表現
18 046
3German (de)
Adjungierte Darstellung
17 480
4Chinese (zh)
伴随表示
15 339
5Russian (ru)
Присоединённое представление группы Ли
14 553
6French (fr)
Représentation adjointe
13 450
7Korean (ko)
딸림표현
2 274
8Italian (it)
Rappresentazione aggiunta
2 002
9Portuguese (pt)
Representação adjunta (grupo de Lie)
1 514
10Ukrainian (uk)
Приєднане представлення групи Лі
473
More...

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

Most popular in October 2023

The most popular language versions of the article "Representação adjunta (grupo de Lie)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Adjoint representation
4 552
2Japanese (ja)
随伴表現
200
3French (fr)
Représentation adjointe
154
4Russian (ru)
Присоединённое представление группы Ли
146
5German (de)
Adjungierte Darstellung
128
6Italian (it)
Rappresentazione aggiunta
97
7Chinese (zh)
伴随表示
93
8Korean (ko)
딸림표현
31
9Portuguese (pt)
Representação adjunta (grupo de Lie)
12
10Ukrainian (uk)
Приєднане представлення групи Лі
5
More...

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

The highest AI

Language versions of the article "Representação adjunta (grupo de Lie)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Adjoint representation
76
2German (de)
Adjungierte Darstellung
12
3French (fr)
Représentation adjointe
10
4Russian (ru)
Присоединённое представление группы Ли
10
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
9Korean (ko)
딸림표현
2
10Portuguese (pt)
Representação adjunta (grupo de Lie)
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 October 2023

Language versions of the article "Representação adjunta (grupo de Lie)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1German (de)
Adjungierte Darstellung
1
2English (en)
Adjoint representation
0
3French (fr)
Représentation adjointe
0
4Italian (it)
Rappresentazione aggiunta
0
5Japanese (ja)
随伴表現
0
6Korean (ko)
딸림표현
0
7Portuguese (pt)
Representação adjunta (grupo de Lie)
0
8Russian (ru)
Присоединённое представление группы Ли
0
9Ukrainian (uk)
Приєднане представлення групи Лі
0
10Chinese (zh)
伴随表示
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 "Representação adjunta (grupo de Lie)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Adjoint representation
227
2Korean (ko)
딸림표현
59
3German (de)
Adjungierte Darstellung
33
4Japanese (ja)
随伴表現
31
5Chinese (zh)
伴随表示
29
6Russian (ru)
Присоединённое представление группы Ли
22
7French (fr)
Représentation adjointe
20
8Ukrainian (uk)
Приєднане представлення групи Лі
20
9Portuguese (pt)
Representação adjunta (grupo de Lie)
14
10Italian (it)
Rappresentazione aggiunta
13
More...

Scores

Estimated value for Wikipedia:
Portuguese:
Global:
Popularity in October 2023:
Portuguese:
Global:
Popularity in all years:
Portuguese:
Global:
Authors in October 2023:
Portuguese:
Global:
Registered authors in all years:
Portuguese:
Global:
Citations:
Portuguese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Adjungierte Darstellung
enEnglish
Adjoint representation
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 Portuguese:
#294900
06.2020
Global:
#293190
04.2010

AI rank trends

Best Rank Portuguese:
#69154
09.2019
Global:
#24699
08.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Adjoint representation from Wikipedia articles about Adjoint, Lie algebra, Derivative of the exponential map, Killing form and Coadjoint representation. Whereas reading the article about Adjoint representation people most often go to Wikipedia articles on Lie group, Lie algebra, Adjoint representation of a Lie algebra, Automorphism group and Lie algebra 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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information