2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63227A class of representations is described for the central extensions, found by Etingof and Frenkel, of current algebras over Riemann surfaces. Their irreducibility is proved. The possibility/impossibility to obtain integrable representations within that class is discussed briefly.12 pages, 1 figureRepresentation TheoryHigh Energy Physics - TheoryMathematical Physics17B65; 22E65; 22E67Irreducible Representations of a Class of Current Algebras of Etingof and Frenkeltext