paper

On a class of Koszul algebras associated to directed graphs

arXiv:math/0508303

Abstract

In math.QA/0506507 I. Gelfand and the authors introduced and studied a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for a large class of layered (i.e. ranked) graphs.

15 pages; AMSTEX