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math-ph2007★ 24 cited
On the ternary complex analysis and its applications
L. N. Lipatov, M. Rausch de Traubenberg, G. G. Volkov
Previouly a possible extension of the complex number, together with its connected trigonometry was introduced. In this paper we focuss on the simplest case of ternary complex numbe…
math-ph2007★ 9 cited
Ternary algebras and groups
M. Rausch de Traubenberg
We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural vari…