  We particularise the construction of generalised Kac-Moody algebras
associated to compact real manifolds to the case of the two-torus $\mathbb T_2$
and the two-sphere ${\mathbb S}^2$. It is shown that these algebras, as well as
a Virasoro algebra associated to the two-torus and the two-sphere, can also be
derived considering the usual Kac-Moody and Virasoro algebras.
