Casimir element

en

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Casimir element

Quality:

Casimir invariant - distinguished element of a Lie algebra's center. Article “Casimir element” in English Wikipedia has 36.1 points for quality (as of July 1, 2025). The article contains 14 references and 17 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.

In June 2025 the article “Casimir element” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Casimir element”, its content was written by 71 registered users of English Wikipedia and edited by 171 registered Wikipedia users in all languages.

The article is cited 87 times in English Wikipedia and cited 169 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #37556 in March 2004
  • Global: #60680 in August 2009

The highest popularity rank from 2008:

  • Local (English): #353502 in October 2023
  • Global: #509093 in October 2023

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
1English (en)
Casimir element
36.109
2Chinese (zh)
卡西米爾不變量
32.1217
3Catalan (ca)
Element Casimir
22.1926
4Turkish (tr)
Casimir değişmezi
15.1021
5Korean (ko)
카시미르 원소
14.3386
6Italian (it)
Operatore di Casimir
10.6784
7Russian (ru)
Инвариант Казимира
10.0728
8French (fr)
Opérateur de Casimir
8.9626
9Ukrainian (uk)
Оператор Казиміра
6.202
10German (de)
Casimir-Operator
3.9204
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 "Casimir element" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Casimir element
360 927
2German (de)
Casimir-Operator
35 039
3Russian (ru)
Инвариант Казимира
25 838
4French (fr)
Opérateur de Casimir
20 239
5Italian (it)
Operatore di Casimir
11 176
6Chinese (zh)
卡西米爾不變量
9 708
7Ukrainian (uk)
Оператор Казиміра
1 731
8Korean (ko)
카시미르 원소
1 710
9Turkish (tr)
Casimir değişmezi
1 615
10Catalan (ca)
Element Casimir
94
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 "Casimir element" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Casimir element
2 138
2German (de)
Casimir-Operator
177
3Russian (ru)
Инвариант Казимира
93
4French (fr)
Opérateur de Casimir
92
5Chinese (zh)
卡西米爾不變量
79
6Italian (it)
Operatore di Casimir
66
7Korean (ko)
카시미르 원소
13
8Ukrainian (uk)
Оператор Казиміра
10
9Turkish (tr)
Casimir değişmezi
8
10Catalan (ca)
Element Casimir
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 "Casimir element" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Casimir element
71
2French (fr)
Opérateur de Casimir
21
3German (de)
Casimir-Operator
20
4Russian (ru)
Инвариант Казимира
17
5Chinese (zh)
卡西米爾不變量
10
6Italian (it)
Operatore di Casimir
9
7Turkish (tr)
Casimir değişmezi
9
8Ukrainian (uk)
Оператор Казиміра
8
9Korean (ko)
카시미르 원소
5
10Catalan (ca)
Element Casimir
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 "Casimir element" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Casimir element
1
2Catalan (ca)
Element Casimir
0
3German (de)
Casimir-Operator
0
4French (fr)
Opérateur de Casimir
0
5Italian (it)
Operatore di Casimir
0
6Korean (ko)
카시미르 원소
0
7Russian (ru)
Инвариант Казимира
0
8Turkish (tr)
Casimir değişmezi
0
9Ukrainian (uk)
Оператор Казиміра
0
10Chinese (zh)
卡西米爾不變量
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 "Casimir element" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Casimir element
87
2Russian (ru)
Инвариант Казимира
21
3German (de)
Casimir-Operator
14
4French (fr)
Opérateur de Casimir
12
5Korean (ko)
카시미르 원소
11
6Chinese (zh)
卡西米爾不變量
10
7Ukrainian (uk)
Оператор Казиміра
7
8Catalan (ca)
Element Casimir
5
9Italian (it)
Operatore di Casimir
2
10Turkish (tr)
Casimir değişmezi
0
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
Element Casimir
deGerman
Casimir-Operator
enEnglish
Casimir element
frFrench
Opérateur de Casimir
itItalian
Operatore di Casimir
koKorean
카시미르 원소
ruRussian
Инвариант Казимира
trTurkish
Casimir değişmezi
ukUkrainian
Оператор Казиміра
zhChinese
卡西米爾不變量

Popularity rank trends

Best Rank English:
#353502
10.2023
Global:
#509093
10.2023

AI rank trends

Best Rank English:
#37556
03.2004
Global:
#60680
08.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Casimir invariant from Wikipedia articles about Killing form, Universal enveloping algebra, Automorphic form, Poincaré group and Angular momentum operator. Whereas reading the article about Casimir invariant people most often go to Wikipedia articles on Universal enveloping algebra, Hendrik Casimir, Harish-Chandra isomorphism, Killing form 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