On Centralizers of Belavin–Drinfeld r-Matrices
The paper provides a structural result about centralizers of Belavin-Drinfeld $r$-matrices. This result appears to be useful in computing Belavin-Drinfeld cohomology, which was introduced earlier for classificalion of certain Lie bialgebras and quantum groups. Mathematical Subject Classification 202...
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Назва журналу: | Journal of Mathematical Physics, Analysis, Geometry |
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oai:jmag.ilt.kharkiv.ua:article-11092025-12-08T18:45:45Z On Centralizers of Belavin–Drinfeld r-Matrices On Centralizers of Belavin–Drinfeld r-Matrices On Centralizers of Belavin–Drinfeld r-Matrices Karolinsky, Eugene Белавiн-Дрiнфельд квантова група бiалгебра Лi Belavin-Drinfeld quantum group Lie bialgebra The paper provides a structural result about centralizers of Belavin-Drinfeld $r$-matrices. This result appears to be useful in computing Belavin-Drinfeld cohomology, which was introduced earlier for classificalion of certain Lie bialgebras and quantum groups. Mathematical Subject Classification 2020: 17B62, 17B37, 17B67, 20G10 У статтi наводиться структурний результат про централiзатори $r\textrm{-}$матриць Белавiна-Дрiнфельда. Цей результат є корисним для обчислення когомологiй Белавiна-Дрiнфельда, якi були введенi ранiше для класифiкацiї деяких бiалгебр Лi та квантових груп. Mathematical Subject Classification 2020: 17B62, 17B37, 17B67, 20G10 Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2025-07-18 Article Article application/pdf https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1109 10.15407/mag21.03.06 Journal of Mathematical Physics, Analysis, Geometry; Vol. 21 No. 3 (2025); 346–350 Журнал математической физики, анализа, геометрии; Том 21 № 3 (2025); 346–350 Журнал математичної фізики, аналізу, геометрії; Том 21 № 3 (2025); 346–350 1817-5805 1812-9471 en https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1109/jm21-0346e |
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Journal of Mathematical Physics, Analysis, Geometry |
| baseUrl_str |
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| datestamp_date |
2025-12-08T18:45:45Z |
| collection |
OJS |
| language |
English |
| topic |
Белавiн-Дрiнфельд квантова група бiалгебра Лi |
| spellingShingle |
Белавiн-Дрiнфельд квантова група бiалгебра Лi Karolinsky, Eugene On Centralizers of Belavin–Drinfeld r-Matrices |
| topic_facet |
Белавiн-Дрiнфельд квантова група бiалгебра Лi Belavin-Drinfeld quantum group Lie bialgebra |
| format |
Article |
| author |
Karolinsky, Eugene |
| author_facet |
Karolinsky, Eugene |
| author_sort |
Karolinsky, Eugene |
| title |
On Centralizers of Belavin–Drinfeld r-Matrices |
| title_short |
On Centralizers of Belavin–Drinfeld r-Matrices |
| title_full |
On Centralizers of Belavin–Drinfeld r-Matrices |
| title_fullStr |
On Centralizers of Belavin–Drinfeld r-Matrices |
| title_full_unstemmed |
On Centralizers of Belavin–Drinfeld r-Matrices |
| title_sort |
on centralizers of belavin–drinfeld r-matrices |
| title_alt |
On Centralizers of Belavin–Drinfeld r-Matrices On Centralizers of Belavin–Drinfeld r-Matrices |
| description |
The paper provides a structural result about centralizers of Belavin-Drinfeld $r$-matrices. This result appears to be useful in computing Belavin-Drinfeld cohomology, which was introduced earlier for classificalion of certain Lie bialgebras and quantum groups.
Mathematical Subject Classification 2020: 17B62, 17B37, 17B67, 20G10 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України |
| publishDate |
2025 |
| url |
https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1109 |
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AT karolinskyeugene oncentralizersofbelavindrinfeldrmatrices |
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2025-09-27T01:57:16Z |
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2025-12-17T12:06:09Z |
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