Indecomposable Representations Of Order Of E6

Abstract

The extended Dynkin diagram is a valued graph. We are going to construct a Baechstrom order A associateed to Eg. We prove, by constructions, that the order A of infinite lattice-type but can be listed (tame-type), i.e., we put all indecomposable A - lattices in finite number of general forms. Finally we give a method to obtain easily and directly the lattices from its associated representations.