Variety of Jordan algebras in small dimensions

• Datum: 2018
• 1. Verfasser: Kashuba, Iryna
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: 14J10; 17C55; 17C10.
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/889
• Назва журналу: Algebra and Discrete Mathematics

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...