On a class of algebras associated to directed graphs

Details On a class of algebras associated to directed graphs On a class of algebras associated to directed graphs

2005-06-24

arxiv.org/abs/math/0506507v1

Mathematics

Quantum Algebra

18 pages; AmsTex

Scientific paper

To any directed graph we associate an algebra with edges of the graph as
generators and with relations defined by all pairs of directed paths with the
same origin and terminus. Such algebras are related to factorizations of
polynomials over noncommutative algebras. We also construct a basis for our
algebras associated to layered graphs.

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