The Double Ringel-Hall Algebras of Valued Quivers

摘要

This paper is devoted to the study of the structure of the double Ringel-Hall algebra D(Λ) for an infinite dimensional hereditary algebra Λ, which is given by a valued quiver Γ over a finite field, and also to the study of the relations of D(Λ)-modules with representations of valued quiver Γ.