Variety of Jordan algebras in small dimensions
The variety J orn of Jordan unitary algebra structures on k n , k an algebraically closed field with char k 6= 2 , is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of GLn-orbits on J orn, n = 4, 5 under the action of structural transport. The numb...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157385 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Variety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-157385 |
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Kashuba, I. 2019-06-20T03:10:50Z 2019-06-20T03:10:50Z 2006 Variety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 14J10, 17C55, 17C10.. https://nasplib.isofts.kiev.ua/handle/123456789/157385 The variety J orn of Jordan unitary algebra structures on k n , k an algebraically closed field with char k 6= 2 , is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of GLn-orbits on J orn, n = 4, 5 under the action of structural transport. The numbers jor₄ and jor₅ of irreducible components are 3 and 6 respectively; a list of generic structures is included. The author is very grateful to her supervisor Prof. I. Shestakov for introducing this subject and many helpful discussions. The author was supported by the Funda¸c˜ao de Amparo ´a Pesquisa do Estado de S˜ao Paulo (99/12223-5). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Variety of Jordan algebras in small dimensions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Variety of Jordan algebras in small dimensions |
| spellingShingle |
Variety of Jordan algebras in small dimensions Kashuba, I. |
| 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 |
| author |
Kashuba, I. |
| author_facet |
Kashuba, I. |
| publishDate |
2006 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
The variety J orn of Jordan unitary algebra
structures on k
n , k an algebraically closed field with char k 6= 2 ,
is studied, as well as infinitesimal deformations of Jordan algebras.
Also we establish the list of GLn-orbits on J orn, n = 4, 5 under
the action of structural transport. The numbers jor₄ and jor₅ of
irreducible components are 3 and 6 respectively; a list of generic
structures is included.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157385 |
| citation_txt |
Variety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ. |
| work_keys_str_mv |
AT kashubai varietyofjordanalgebrasinsmalldimensions |
| first_indexed |
2025-11-30T19:13:30Z |
| last_indexed |
2025-11-30T19:13:30Z |
| _version_ |
1850858418975277056 |