Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials
Rings and Algebras
2007-05-23 v5 Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0603327,
title = {Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials},
author = {Vladimir Retakh and Shirlei Serconek and Robert Lee Wilson},
journal= {arXiv preprint arXiv:math/0603327},
year = {2007}
}
Comments
To appear in Proceedings of the Conference "Lie Algebras, Vertex Operator Algebras and Their Applications"