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: Kashuba, I.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2006
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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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
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