Variety of Jordan algebras in small dimensions

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dc.contributor.authorKashuba, I.
dc.date.accessioned2019-06-20T03:10:50Z
dc.date.available2019-06-20T03:10:50Z
dc.date.issued2006
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThe 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).uk_UA
dc.identifier.citationVariety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ.uk_UA
dc.identifier.issn1726-3255
dc.identifier.other2000 Mathematics Subject Classification: 14J10, 17C55, 17C10..
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/157385
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleVariety of Jordan algebras in small dimensionsuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2006, № 2