Homology, Homotopy and Applications

On the classification of Moore algebras and their deformations

Alastair Hamilton

Full-text: Open access

Abstract

In this paper we will study deformations of $A_\infty$-algebras. We will also answer questions relating to Moore algebras which are one of the simplest nontrivial examples of an $A_\infty$-algebra. We will compute the truncated Hochschild cohomology of odd Moore algebras and classify them up to a unital weak equivalence. We will construct miniversal deformations of particular Moore algebras and relate them to the universal odd and even Moore algebras. Finally we will conclude with an investigation of formal one-parameter deformations of an $A_\infty$-algebra.

Article information

Source
Homology Homotopy Appl., Volume 6, Number 1 (2004), 87-107.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839546

Mathematical Reviews number (MathSciNet)
MR2061569

Zentralblatt MATH identifier
1082.16015

Subjects
Primary: 16E45: Differential graded algebras and applications
Secondary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 18G99: None of the above, but in this section

Citation

Hamilton, Alastair. On the classification of Moore algebras and their deformations. Homology Homotopy Appl. 6 (2004), no. 1, 87--107. https://projecteuclid.org/euclid.hha/1139839546


Export citation