Variety of Jordan algebras in small dimensions

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Author(s):	Kashuba, Iryna Total Authors: 1
Document type:	Journal article
Source:	ALGEBRA & DISCRETE MATHEMATICS; v. N/A, n. 2, p. 15-pg., 2006-01-01.
Abstract
The variety Jor(n), of Jordan unitary algebra structures on k(n), k an algebraically closed field with char k not equal 2, is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of GL(n)-orbits on jor(n), n = 4, 5 under the action of structural transport. The numbers jor4 and jor(5) of irreducible components are 3 and 6 respectively; a list of generic structures is included. (AU)