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...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157385 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Variety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635700602535936 |
|---|---|
| author | Kashuba, I. |
| author_facet | Kashuba, I. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-30T19:13:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157385 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T19:13:30Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Variety of Jordan algebras in small dimensions Kashuba, I. |
| title | 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_short | Variety of Jordan algebras in small dimensions |
| title_sort | variety of jordan algebras in small dimensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157385 |
| work_keys_str_mv | AT kashubai varietyofjordanalgebrasinsmalldimensions |