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Quasiconformal mappings in octonionic algebra: A graphical and analytical comparison
(2009-06-01)
In this article, we present quasiconformal mappings related to octonionic algebra. Based on the metric definition of quasiconformal mappings and using transformations of the type f(z)=zn, we compare the graphical and ...
Clifford algebra-parametrized octonions and generalizations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
ASSOCIATIVE IDENTITIES OF OCTONIONS
(SPRINGER, 2011)
We work to find a basis of identities for an octonion algebra modulo an associator ideal of a free alternative algebra, or, in other words, a basis for an associative replica of an ideal of identities of an octonion algebra.
Quasiconformal mappings in octonionic algebra: A graphical and analytical comparison
(2009-06-01)
In this article, we present quasiconformal mappings related to octonionic algebra. Based on the metric definition of quasiconformal mappings and using transformations of the type f(z)=zn, we compare the graphical and ...
Lie 3−algebra and super-affinization of split-octonions
(World Scientific Publishing, 2011-05-18)
Octonionic planes
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-03-09)
Os planos projetivo e hiperbólico octoniônicos são estudados. Apresentamos as construções baseadas em álgebras de Jordan, as métricas Riemannianas, a estrutura de espaços homogêneos e a classificação das subvariedades ...
An extension of quaternionic metrics to octonions
(1985-01-01)
A treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schrödinger, and for the ...
On the hypercomplex-based search spaces for optimization purposes
(2018-01-01)
Most applications can be modeled using real-valued algebra. Nevertheless, certain problems may be better addressed using different mathematical tools. In this context, complex numbers can be viewed as an alternative to ...
Hipercomplexos: um estudo da analicidade e da hiperperiodicidade de funções octoniônicas
(Universidade Estadual Paulista (Unesp), 2007-03-02)
Com o intuido de bem fundamentar bases teóricas para futuras aplicações dos octônios à Mecânica Quântica, Computação Quântica e Criptografia, um dos objetivos maiores deste trabalho é o de determinar e estudar a analiticidade ...