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arXiv · 2605.27897

Super integrable hierarchies associated with color Lie algebra

Bo Yuan·Yanhui Bi·Yuqi Ruan·Tao Zhang
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Abstract

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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Bo Yuan, Yanhui Bi, Yuqi Ruan, Tao Zhang. 2026-05-27. Super integrable hierarchies associated with color Lie algebra. https://arxiv.org/abs/2605.27897

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