Variety of Jordan algebras in small dimensions
The variety \(\,{\mathcal{J}} or_n\,\) of Jordan unitary algebra structures on \(\,{\bf k}^n\,\), \(\,{\bf k}\,\) an algebraically closed field with char\(\,{\bf k}\neq 2\,\), is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of \(\,{\rm GL}_n\)-orbits...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/889 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-889 |
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admjournalluguniveduua-article-8892018-03-21T07:47:43Z Variety of Jordan algebras in small dimensions Kashuba, Iryna 14J10, 17C55, 17C10. The variety \(\,{\mathcal{J}} or_n\,\) of Jordan unitary algebra structures on \(\,{\bf k}^n\,\), \(\,{\bf k}\,\) an algebraically closed field with char\(\,{\bf k}\neq 2\,\), is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of \(\,{\rm GL}_n\)-orbits on \(\,{\mathcal{J}} or_n\), \(\,n=4,5\,\) under the action of structural transport. The numbers \(\,jor_4\,\) and \(\,jor_5\,\) of irreducible components are \(\,3\,\) and \(\,6\,\) respectively; a list of generic structures is included. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/889 Algebra and Discrete Mathematics; Vol 5, No 2 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/889/418 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-03-21T07:47:43Z |
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OJS |
| language |
English |
| topic |
14J10 17C55 17C10. |
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14J10 17C55 17C10. Kashuba, Iryna Variety of Jordan algebras in small dimensions |
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14J10 17C55 17C10. |
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Article |
| author |
Kashuba, Iryna |
| author_facet |
Kashuba, Iryna |
| author_sort |
Kashuba, Iryna |
| title |
Variety of Jordan algebras in small dimensions |
| title_short |
Variety of Jordan algebras in small dimensions |
| title_full |
Variety of Jordan algebras in small dimensions |
| title_fullStr |
Variety of Jordan algebras in small dimensions |
| title_full_unstemmed |
Variety of Jordan algebras in small dimensions |
| title_sort |
variety of jordan algebras in small dimensions |
| description |
The variety \(\,{\mathcal{J}} or_n\,\) of Jordan unitary algebra structures on \(\,{\bf k}^n\,\), \(\,{\bf k}\,\) an algebraically closed field with char\(\,{\bf k}\neq 2\,\), is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of \(\,{\rm GL}_n\)-orbits on \(\,{\mathcal{J}} or_n\), \(\,n=4,5\,\) under the action of structural transport. The numbers \(\,jor_4\,\) and \(\,jor_5\,\) of irreducible components are \(\,3\,\) and \(\,6\,\) respectively; a list of generic structures is included. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/889 |
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AT kashubairyna varietyofjordanalgebrasinsmalldimensions |
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2025-12-02T15:46:51Z |
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2025-12-02T15:46:51Z |
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1850412013019201536 |