Super integrable hierarchies associated with color Lie algebra
classification
🌊 nlin.SI
math.DG
keywords
superalgebracolordimensionalintegrablemathfrakassociatedchosen
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In this paper, by considering two non-isospectral problems with matrices chosen on the color Lie algebra $\mathfrak{sp}_{1}(6)$, we construct (1+1)-dimensional and (2+1)-dimensional super integrable systems on $\mathfrak{sp}_{1}(6)$. Moreover, based on the supertrace identity, their super Hamiltonian structures are also constructed.
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