2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63812To a generic holomorphic vector bundle on an algebraic curve and an irreducible finite-dimensional representation of a semisimple Lie algebra, we assign a representation of the corresponding affine Krichever--Novikov algebra in the space of semi-infinite exterior forms. It is shown that equivalent pairs of data give rise to equivalent representations and vice versa.AMS LaTeX, 11 pagesRepresentation Theory17B65text