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.

Publication Type:	Monograph (Working Paper)
Subjects:	Q Science > QA Mathematics
Departments:	School of Mathematics, Computer Science & Engineering > Mathematics
URI:	https://openaccess.city.ac.uk/id/eprint/14013

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