On the classification of Moore algebras and their deformations
Abstract
In this paper we will study deformations of Ainfinity algebras. We will also answer questions relating to Moore algebras which are one of the simplest nontrivial examples of an Ainfinity algebra. We will compute the 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 oneparameter deformations of an Ainfinity algebra.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2003
 arXiv:
 arXiv:math/0304314
 Bibcode:
 2003math......4314H
 Keywords:

 Quantum Algebra;
 Algebraic Topology;
 16E45;
 14J10;
 13F25;
 13N15;
 13D10
 EPrint:
 16 pages