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

We introduce the notion of -algebroid, generalising both Lie and Courant algebroids, as well algebroids used in exceptional generalised geometry for . Focusing on case, we prove a classification “exact” translate related Leibniz parallelisable spaces into tractable algebraic problem. After discussing general Poisson–Lie duality, show that U-duality is compatible with equations motion supergravity.