Central extensions and semi-infinite wedge representations of Krichever-Novikov algebras for more than two points

For the generalized Krichever-Novikov algebras of meromorphic vector fields and their induced modules of weight a different basis is given. With respect to this basis the module structure is generalized graded. Local central extensions of these algebras and their representations on the space of semi-infinite wedge product of forms of weight are studied. In this generalization, one again obtains c = -2(6² -6 +1) as the value for the central charge.