Noncommutative algebras associated to complexes and graphs
Israel Gelfand, Sergei Gelfand, Vladimir Retakh
Abstract
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 Qn was introduced. The algebra Qn is closely related to factorizations of a generic polynomial of degree n over a division algebra into linear factors.
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