Quiver Coefficients of Dynkin Type

摘要

Let Q - (Q_0, Q_1) be a quiver consisting of a finite set of vertices Q_0 and a finite set of arrows Q_1. Each arrow a ∈ Q_1 has a head h(a) and a tail t(a) in Q_0. For convenience we will assume that the vertex set is an integer interval, Q_0 = {1,2,...,n}. Let e = (e_1, ...,e_n) ∈ N~n be a dimension vector, and fix vector spaces E_i = K~(e_i) for i ∈ Q_0 over a field K.