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Contractions of Low-Dimensional Nilpotent Jordan Algebras

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Ancochea Bermúdez, José María and Fresán, Javier and Margalef Bentabol, Juan (2011) Contractions of Low-Dimensional Nilpotent Jordan Algebras. Communications in Algebra, 39 (3). pp. 1139-1151. ISSN 0092-7872

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Official URL: http://www.tandfonline.com/doi/full/10.1080/00927871003649393


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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 2 and 3 are irreducible and that 4 is the union of the Zariski closures of the orbits of two rigid Jordan algebras


Item Type:Article
Uncontrolled Keywords:Contraction; Jordan algebras; Nilpotent; Rigidity
Subjects:Sciences > Mathematics > Algebra
ID Code:20688
Deposited On:09 Apr 2013 17:46
Last Modified:12 Dec 2018 15:13

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