Universal enveloping algebra

en

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Universal enveloping algebra

Quality:

Universal enveloping algebra - Hopf algebra associated to a Lie algebra. Article “Universal enveloping algebra” in English Wikipedia has 43.3 points for quality (as of July 1, 2025). The article contains 10 references and 23 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 “Universal enveloping algebra”, its content was written by 71 registered users of English Wikipedia and edited by 175 registered Wikipedia users in all languages.

The article is cited 111 times in English Wikipedia and cited 282 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #8783 in November 2003
  • Global: #20968 in November 2003

The highest popularity rank from 2008:

  • Local (English): #426713 in December 2022
  • Global: #582614 in December 2022

There are 13 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)
Universal enveloping algebra
43.2656
2Korean (ko)
보편 포락 대수
19.7315
3Catalan (ca)
Àlgebra d'embolcall universal
14.9204
4Portuguese (pt)
Álgebra envelopante
14.6359
5French (fr)
Algèbre enveloppante
13.9268
6Chinese (zh)
泛包絡代數
11.6458
7Russian (ru)
Универсальная обёртывающая алгебра
8.9442
8Ukrainian (uk)
Універсальна обгортуюча алгебра
8.5757
9German (de)
Universelle einhüllende Algebra
4.7298
10Japanese (ja)
普遍包絡代数
4.1908
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 "Universal enveloping algebra" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Universal enveloping algebra
263 086
2Russian (ru)
Универсальная обёртывающая алгебра
19 617
3German (de)
Universelle einhüllende Algebra
19 275
4French (fr)
Algèbre enveloppante
17 452
5Japanese (ja)
普遍包絡代数
13 558
6Chinese (zh)
泛包絡代數
9 833
7Portuguese (pt)
Álgebra envelopante
4 380
8Korean (ko)
보편 포락 대수
3 358
9Swedish (sv)
Universell envelopperande algebra
2 538
10Georgian (ka)
უნივერსალური მომვლები ალგებრა
1 750
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 "Universal enveloping algebra" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Universal enveloping algebra
1 251
2Japanese (ja)
普遍包絡代数
434
3Russian (ru)
Универсальная обёртывающая алгебра
98
4French (fr)
Algèbre enveloppante
67
5German (de)
Universelle einhüllende Algebra
58
6Chinese (zh)
泛包絡代數
48
7Korean (ko)
보편 포락 대수
25
8Portuguese (pt)
Álgebra envelopante
17
9Catalan (ca)
Àlgebra d'embolcall universal
5
10Georgian (ka)
უნივერსალური მომვლები ალგებრა
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 "Universal enveloping algebra" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Universal enveloping algebra
71
2French (fr)
Algèbre enveloppante
28
3German (de)
Universelle einhüllende Algebra
16
4Russian (ru)
Универсальная обёртывающая алгебра
15
5Swedish (sv)
Universell envelopperande algebra
11
6Portuguese (pt)
Álgebra envelopante
8
7Esperanto (eo)
Universala envelopa alĝebro
5
8Japanese (ja)
普遍包絡代数
5
9Korean (ko)
보편 포락 대수
5
10Chinese (zh)
泛包絡代數
4
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 "Universal enveloping algebra" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Àlgebra d'embolcall universal
0
2German (de)
Universelle einhüllende Algebra
0
3English (en)
Universal enveloping algebra
0
4Esperanto (eo)
Universala envelopa alĝebro
0
5French (fr)
Algèbre enveloppante
0
6Japanese (ja)
普遍包絡代数
0
7Georgian (ka)
უნივერსალური მომვლები ალგებრა
0
8Korean (ko)
보편 포락 대수
0
9Portuguese (pt)
Álgebra envelopante
0
10Russian (ru)
Универсальная обёртывающая алгебра
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 "Universal enveloping algebra" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Universal enveloping algebra
111
2Korean (ko)
보편 포락 대수
36
3French (fr)
Algèbre enveloppante
31
4Japanese (ja)
普遍包絡代数
25
5Chinese (zh)
泛包絡代數
21
6German (de)
Universelle einhüllende Algebra
18
7Russian (ru)
Универсальная обёртывающая алгебра
11
8Portuguese (pt)
Álgebra envelopante
7
9Ukrainian (uk)
Універсальна обгортуюча алгебра
7
10Swedish (sv)
Universell envelopperande algebra
6
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
caCatalan
Àlgebra d'embolcall universal
deGerman
Universelle einhüllende Algebra
enEnglish
Universal enveloping algebra
eoEsperanto
Universala envelopa alĝebro
frFrench
Algèbre enveloppante
jaJapanese
普遍包絡代数
kaGeorgian
უნივერსალური მომვლები ალგებრა
koKorean
보편 포락 대수
ptPortuguese
Álgebra envelopante
ruRussian
Универсальная обёртывающая алгебра
svSwedish
Universell envelopperande algebra
ukUkrainian
Універсальна обгортуюча алгебра
zhChinese
泛包絡代數

Popularity rank trends

Best Rank English:
#426713
12.2022
Global:
#582614
12.2022

AI rank trends

Best Rank English:
#8783
11.2003
Global:
#20968
11.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Universal enveloping algebra from Wikipedia articles about Casimir invariant, Poincaré–Birkhoff–Witt theorem, Poisson bracket, Enveloping algebra and Moyal product. Whereas reading the article about Universal enveloping algebra people most often go to Wikipedia articles on Casimir invariant, Poincaré–Birkhoff–Witt theorem, Lie algebra, Algebra over a field and Tensor algebra.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

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In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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