Y-algebroids generalize symmetry structures for string/M-theory compactifications.
problem Capturing local symmetry structures for string/M-theory compactifications to various dimensions.
method Define Y-algebroids based on a tensor Y, classify M-exact E7-algebroids, and relate to E7(7)×R^+ generalised geometry.
result Y-algebroids match the generalised tangent space of E7(7)×R^+ generalised geometry, including possible fluxes.