Kac–Moody algebra

en

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Kac–Moody algebra

Quality:

Kac–Moody algebra - Lie algebra defined by generators and relations through a generalized Cartan matrix. Article "Kac–Moody algebra" in English Wikipedia has 29.5 points for quality (as of July 1, 2025). The article contains 15 references and 9 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 "Kac–Moody algebra", its content was written by 57 registered users of English Wikipedia and edited by 123 registered Wikipedia users in all languages.

The article is cited 167 times in English Wikipedia and cited 513 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #42462 in March 2005
  • Global: #99927 in March 2005

The highest popularity rank from 2008:

  • Local (English): #430871 in November 2008
  • Global: #637186 in October 2014

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 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)
Kac-Moody-Algebra
43.084
2English (en)
Kac–Moody algebra
29.5149
3Portuguese (pt)
Álgebra de Kac-Moody
15.7645
4Ukrainian (uk)
Алгебра Каца — Муді
15.7362
5Korean (ko)
카츠-무디 대수
15.3448
6Japanese (ja)
カッツ・ムーディ代数
13.3134
7Chinese (zh)
卡茨-穆迪代数
13.2781
8Persian (fa)
جبر کک-مودی
11.9213
9French (fr)
Algèbre de Kac-Moody
5.3213
10Dutch (nl)
Kac-Moody-algebra
2.3256
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 "Kac–Moody algebra" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Kac–Moody algebra
239 954
2Japanese (ja)
カッツ・ムーディ代数
23 283
3French (fr)
Algèbre de Kac-Moody
12 928
4Chinese (zh)
卡茨-穆迪代数
8 384
5German (de)
Kac-Moody-Algebra
5 143
6Portuguese (pt)
Álgebra de Kac-Moody
4 163
7Dutch (nl)
Kac-Moody-algebra
2 009
8Korean (ko)
카츠-무디 대수
1 302
9Ukrainian (uk)
Алгебра Каца — Муді
343
10Persian (fa)
جبر کک-مودی
318
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 "Kac–Moody algebra" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Kac–Moody algebra
1 221
2Japanese (ja)
カッツ・ムーディ代数
230
3Chinese (zh)
卡茨-穆迪代数
81
4French (fr)
Algèbre de Kac-Moody
59
5German (de)
Kac-Moody-Algebra
45
6Portuguese (pt)
Álgebra de Kac-Moody
15
7Ukrainian (uk)
Алгебра Каца — Муді
14
8Korean (ko)
카츠-무디 대수
12
9Dutch (nl)
Kac-Moody-algebra
7
10Persian (fa)
جبر کک-مودی
6
More...

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

The highest AI

Language versions of the article "Kac–Moody algebra" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Kac–Moody algebra
57
2French (fr)
Algèbre de Kac-Moody
23
3Japanese (ja)
カッツ・ムーディ代数
11
4German (de)
Kac-Moody-Algebra
8
5Portuguese (pt)
Álgebra de Kac-Moody
7
6Chinese (zh)
卡茨-穆迪代数
7
7Dutch (nl)
Kac-Moody-algebra
6
8Ukrainian (uk)
Алгебра Каца — Муді
2
9Persian (fa)
جبر کک-مودی
1
10Korean (ko)
카츠-무디 대수
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 "Kac–Moody algebra" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Kac-Moody-Algebra
0
2English (en)
Kac–Moody algebra
0
3Persian (fa)
جبر کک-مودی
0
4French (fr)
Algèbre de Kac-Moody
0
5Japanese (ja)
カッツ・ムーディ代数
0
6Korean (ko)
카츠-무디 대수
0
7Dutch (nl)
Kac-Moody-algebra
0
8Portuguese (pt)
Álgebra de Kac-Moody
0
9Ukrainian (uk)
Алгебра Каца — Муді
0
10Chinese (zh)
卡茨-穆迪代数
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 "Kac–Moody algebra" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Kac–Moody algebra
167
2Chinese (zh)
卡茨-穆迪代数
101
3Persian (fa)
جبر کک-مودی
77
4Japanese (ja)
カッツ・ムーディ代数
63
5Portuguese (pt)
Álgebra de Kac-Moody
37
6French (fr)
Algèbre de Kac-Moody
29
7German (de)
Kac-Moody-Algebra
25
8Dutch (nl)
Kac-Moody-algebra
6
9Korean (ko)
카츠-무디 대수
4
10Ukrainian (uk)
Алгебра Каца — Муді
4
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
Kac-Moody-Algebra
enEnglish
Kac–Moody algebra
faPersian
جبر کک-مودی
frFrench
Algèbre de Kac-Moody
jaJapanese
カッツ・ムーディ代数
koKorean
카츠-무디 대수
nlDutch
Kac-Moody-algebra
ptPortuguese
Álgebra de Kac-Moody
ukUkrainian
Алгебра Каца — Муді
zhChinese
卡茨-穆迪代数

Popularity rank trends

Best Rank English:
#430871
11.2008
Global:
#637186
10.2014

AI rank trends

Best Rank English:
#42462
03.2005
Global:
#99927
03.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Kac–Moody algebra from Wikipedia articles about Generalized Kac–Moody algebra, Coxeter group, Victor Kac, Lie algebra and Affine Lie algebra. Whereas reading the article about Kac–Moody algebra people most often go to Wikipedia articles on Cartan matrix, Victor Kac, Affine Lie algebra, Robert Moody and 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