Real quadratic flexible division algebras
type: Item
instance of: scholarly article
title: Real quadratic flexible division algebras
zbMATH Open document ID: 1011.17002
DOI: 10.1016/S0024-3795(98)10113-1
author: R. De Los Santos Villodres
author: José Antonio Cuenca Mira
author: Amin Kaidi
author: Abdellatif Rochdi
published in: Linear Algebra and its Applications
publication date: 2003-05-29T00:00:00Z
review text: The authors generalize the Cayley-Dickson process to obtain all finite-dimensional real quadratic algebras from the complex numbers, quaternions, or Cayley numbers. This new process is called vectorial isotopy. A 16 parameter table is given for a class of eight-dimensional real quadratic, flexible algebras. Conditions on the parameters are given that determine which of these algebras are also division algebras, all of which are included in the 16 parameter family. The eight-dimensional algebras of the title are then classified up to isomorphism.
Mathematics Subject Classification ID: 17A35
Mathematics Subject Classification ID: 17A20
zbMATH DE Number: 1331363
zbMATH Keywords: quadratic flexible algebras
zbMATH Keywords: vectorial isotopy
reviewed by: Steven C. Althoen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1331363