On a class of Koszul algebras associated to directed graphs

Mathematics – Quantum Algebra

Scientific paper

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15 pages; AMSTEX

Scientific paper

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.

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