Variety of Jordan algebras in small dimensions

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Author: Kashuba, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157385
• 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.

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...