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We introduce the notion of   G  ‐algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used inE   n  (  n  )    ×   R  +exceptional generalised geometry for    n  ∈  {  3  ,  ⋯  ,  6  }   . Focusing on the exceptional case, we prove a classification of “exact” algebroids and translate the related classification of Leibniz parallelisable spaces into a tractable algebraic problem. After discussing the general notion of Poisson–Lie duality, we show that the Poisson–Lie U‐duality is compatible with the equations of motion of supergravity.

G‐Algebroids: A Unified Framework for Exceptional and Generalised Geometry, and Poisson–Lie Duality