STANDARD MODULES AND STANDARD MODULES OF LEVEL ONE

摘要

In this paper we give a proof of the following statement: ''Every irreducible integrable representation of level l > O of affine I(ac-Moody algebra occurs in the tensor product of l 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). [References: 13]