Standard modules and standard modules of level one Original Research Article

In this paper we give a proof of the following statement: “Every irreducible integrable representation of level image of affine Kac-Moody algebra occurs in the tensor product of image highest weight modules of level 1.” The techniques of the proof use a result due to Kac and Wakimoto (1986) which is a particular case of the Parthasaraty-Ranga Rao-Varadarajan conjecture, proved in (Kumar, 1988; Littelmann, preprint; Mathieu, 1989).