Free resolutions of algebras

Reference:

Chuang, J. and King, A., 2012. Free resolutions of algebras. Working Paper.

Related documents:

Related URLs:

• http://uk.arxiv.org/abs/1210.5438

Abstract

Given an algebra A, presented by generators and relations, i.e. as a quotient of a tensor algebra by an ideal, we construct a free algebra resolution of A, i.e. a differential graded algebra which is quasi-isomorphic to A and which is itself a tensor algebra. The construction rests combinatorially on the set of bracketings that arise naturally in the description of a free contractible differential graded algebra with given generators.

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