  Recently, Iwahori-Hecke algebras were associated to Kac-Moody groups over
non-Archimedean local fields. In a previous paper, we introduced principal
series representations for these algebras and partially generalized Kato's
irreducibility criterion. In this paper, we study how some of these
representations decompose when they are reducible and deduce information on the
irreducible representations of these algebras.
