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

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

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Rings and Algebras, Combinatorics, 05E05; 15A15; 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/110177

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603327
 http://arxiv.org/abs/math/0603327

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arXiv