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Contractions of Low-Dimensional Nilpotent Jordan Algebras

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URI: https://hdl.handle.net/10016/39777
ISSN: 0092-7872
DOI: 10.1080/00927871003649393
UXXI: AR/0000033931
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contractions_margalef_CA._2011.pdf (270.61 KB)
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2011-03-16
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Informa UK Limited
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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.
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Contraction, Jordan algebras, Nilpotent, Rigidity
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Ancochea Bermúdez, J. M., Fresán, J., & Bentabol, J. M. (2011). Contractions of Low-Dimensional Nilpotent Jordan Algebras. Communications in Algebra 39(3), pp. 1139-1151
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