3D binary anti-commutative operadic Lax representations for harmonic   oscillator
  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 sl(2) is constructed. 
Eugen Paal and Jyri Virkepu