2 papers
hep-th2006
Alternativity and reciprocity in the Cayley-Dickson algebra
S. Kuwata, H. Fujii, A. Nakashima
We calculate the eigenvalue ρof the multiplication mapping R on the Cayley-Dickson algebra A_n. If the element in A_n is composed of a pair of alternative elements in A_{n-1}, half…
hep-th2003
Born-Infeld Lagrangian using Cayley-Dickson algebras
S. Kuwata
We rewrite the Born-Infeld Lagrangian, which is originally given by the determinant of a matrix composed of the metric tensor and the field strength tensor , us…