Noncommutative algebras associated to complexes and graphs

This is a first of our papers devoted to "noncommutative topology and graph theory". Its origin is the paper math.QA/0002238 by I. Gelfand, V. Retakh, and R.L. Wilson where a new class of noncommutative algebras \(Q_n\) was introduced. The algebra \(Q_n\) is closely related to factorizatio...

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Bibliographic Details
Published in:arXiv.org 2000-08
Main Authors: Gelfand, Israel, Gelfand, Sergei, Retakh, Vladimir
Format: Article
Language:English
Subjects:
Algebra
Graph theory
Mathematical analysis
Polynomials
Topology
Online Access:Get full text
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Summary:This is a first of our papers devoted to "noncommutative topology and graph theory". Its origin is the paper math.QA/0002238 by I. Gelfand, V. Retakh, and R.L. Wilson where a new class of noncommutative algebras \(Q_n\) was introduced. The algebra \(Q_n\) is closely related to factorizations of a generic polynomial of degree \(n\) over a division algebra into linear factors.
ISSN:2331-8422