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On a class of Koszul algebras associated to directed graphs

Vladimir Retakh·Shirlei Serconek·Robert Lee Wilson
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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.

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Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson. 2005-08-16. On a class of Koszul algebras associated to directed graphs. https://arxiv.org/abs/math/0508303

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