3D binary anti-commutative operadic Lax representations for harmonic oscillator
classification
🧮 math-ph
math.MP
keywords
operadicharmonicoscillatoranti-commutativebinaryconstructedrepresentationsalgebra
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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.
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