Multiplicative Ehresmann connections on general Lie algebroids yield a gauge-invariant pair of Yang-Mills equations that reduce to the classical equation in the transitive case.
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Fundamentals of Lie categories and Yang-Mills theory for multiplicative Ehresmann connections
Multiplicative Ehresmann connections on general Lie algebroids yield a gauge-invariant pair of Yang-Mills equations that reduce to the classical equation in the transitive case.