Contractions of Low-Dimensional Nilpotent Jordan Algebras Articles uri icon

publication date

  • March 2011

start page

  • 1139

end page

  • 1151

issue

  • 3

volume

  • 39

International Standard Serial Number (ISSN)

  • 0092-7872

Electronic International Standard Serial Number (EISSN)

  • 1532-4125

abstract

  • In this article, we classify the laws of three-dimensional and four-dimensional nilpotent Jordan algebras over the field of complex numbers. We describe the irreducible components of their algebraic varieties and extend contractions and deformations among their isomorphism classes. In particular, we prove that ... and ... are irreducible and that .... is the union of the Zariski closures of the orbits of two rigid Jordan algebras.

subjects

  • Mathematics

keywords

  • contraction; jordan algebras; nilpotent; rigidity