1 citations · 1 across the 3 of their papers we have counts for
5 papers
The Exponential Map on the Cayley-Dickson algebras
Guillermo Moreno
we study the exponential map for A_n = R^2^n, the Cayley_Dickson algebras for n bigher than 1,wich generalize the Complex exponential map to Quaternions,Octonions and so forth. As…
Alternative elements in the Cayley-Dickson algebras
Guillermo Moreno
An element a in A_n, the Cayley-Dickson algebra is alternative if (a,a,x)=0 for all x. In this paper we characterise such elements for n>3.To do so,we prove first the so called Yui…
Hopf construction map in higher dimensions
Guillermo Moreno
In this paper, we study the zero set of the Hopf construction map F_n : A_n_ x A_n --> A_n x A_0 given by F_n (x, y) = (2xy, | y|^2 - |x|^2) for n >3 where A_n is the Cayley-Dickso…
The zero divisors of the Cayley-Dickson algebras over the real numbers
R. Guillermo Moreno
In this paper we describe algebraically the zero divirsors of the Cayley- Dickson algebras $\a_{n}=\erre^{2^n}$ for over the real numbers.
Differential Forms, Hopf Algebra and General Relativity I
Jerzy F. Plebanski, G. R. Moreno, F. J. Turrubiates
We review the language of differential forms and their applications to Riemannian Geometry with an orientation to General Relativity. Working with the principal algebraic and diffe…