Variety of Jordan algebras in small dimensions

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2006, Vol. 5
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Algebra and Discrete Mathematics, 2006, № 2
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Variety of Jordan algebras in small dimensions

Інший ID: 2000 Mathematics Subject Classification: 14J10, 17C55, 17C10..

URI: http://dspace.nbuv.gov.ua/handle/123456789/157385

Посилання: Variety of Jordan algebras in small dimensions / I. Kashuba // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 62–76. — Бібліогр.: 15 назв. — англ.

Підтримка: 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).

Дата: 2006

Завантажень: 208

Variety of Jordan algebras in small dimensions

Анотація:

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.

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