  The exceptional Drinfel'd algebra (EDA) is a Leibniz algebra introduced to
provide an algebraic underpinning with which to explore generalised notions of
U-duality in M-theory. In essence it provides an M-theoretic analogue of the
way a Drinfel'd double encodes generalised T-dualities of strings. In this note
we detail the construction of the EDA in the case where the regular U-duality
group is $E_{6(6)}$. We show how the EDA can be realised geometrically as a
generalised Leibniz parallelisation of the exceptional generalised tangent
bundle for a six-dimensional group manifold $G$, endowed with a Nambu-Lie
structure. When the EDA is of coboundary type, we show how a natural
generalisation of the classical Yang-Baxter equation arises. The construction
is illustrated with a selection of examples including some which embed
Drinfel'd doubles and others that are not of this type.
