Abstract
It is explained how the time evolution of the operadic variables may be introduced by using the operadic Lax equation. The operadic Lax representations for the harmonic oscillator are constructed in 3-dimensional binary anti-commutative algebras. As an example, an operadic Lax representation for the harmonic oscillator in the Lie algebra $\mathfrak{sl}(2)$ is constructed.
Citation
Eugen PAAL. Juri VIRKEPU. "Operadic representations of harmonic oscillator in some 3d algebras." J. Gen. Lie Theory Appl. 3 (1) 53 - 60, March 2009. https://doi.org/10.4303/jglta/S090104
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