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arxiv: 1305.4598 · v4 · pith:IXDQXVYEnew · submitted 2013-05-20 · 🧮 math.DG · math-ph· math.MP· nlin.SI

Non-Abelian Lie algebroids over jet spaces

classification 🧮 math.DG math-phmath.MPnlin.SI
keywords algebroidsnon-abelianalgebra-valuedassociatedifferentialdifferentials--equationsevolutionary
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We associate Hamiltonian homological evolutionary vector fields --which are the non-Abelian variational Lie algebroids' differentials-- with Lie algebra-valued zero-curvature representations for partial differential equations.

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