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Algebra and Discrete Mathematics, 2006, Issue 2, Pages 62–76
(Mi adm257)
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This article is cited in 7 scientific papers (total in 7 papers)
RESEARCH ARTICLE
Variety of Jordan algebras in small dimensions
Iryna Kashuba Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matao 1010,
São Paulo 05311–970, Brazil
Abstract:
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.
Received: 05.09.2006 Revised: 29.09.2006
Citation:
Iryna Kashuba, “Variety of Jordan algebras in small dimensions”, Algebra Discrete Math., 2006, no. 2, 62–76
Linking options:
https://www.mathnet.ru/eng/adm257 https://www.mathnet.ru/eng/adm/y2006/i2/p62
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Abstract page: | 203 | Full-text PDF : | 135 | First page: | 1 |
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