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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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157385 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1573852019-06-21T01:27:27Z Variety of Jordan algebras in small dimensions Kashuba, I. 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. 2006 Article 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.. http://dspace.nbuv.gov.ua/handle/123456789/157385 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kashuba, I. |
| spellingShingle |
Kashuba, I. Variety of Jordan algebras in small dimensions Algebra and Discrete Mathematics |
| author_facet |
Kashuba, I. |
| author_sort |
Kashuba, I. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kashubai varietyofjordanalgebrasinsmalldimensions |
| first_indexed |
2023-05-20T17:51:53Z |
| last_indexed |
2023-05-20T17:51:53Z |
| _version_ |
1796154268693037056 |