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Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials

Vladimir Retakh·Shirlei Serconek·Robert Lee Wilson
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Abstract

This is a survey of recently published results. We introduce and study a wide class algebras associated to directed graphs and related to factorizations of noncommutative polynomials. In particular, we show that for many well-known graphs such algebras are Koszul and compute their Hilbert series.

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Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson. 2006-05-26. Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials. https://arxiv.org/abs/math/0603327

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