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

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

2006-03-14

arxiv.org/abs/math/0603327v5

Mathematics

Rings and Algebras

To appear in Proceedings of the Conference "Lie Algebras, Vertex Operator Algebras and Their Applications"

Scientific paper

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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