DG algebras with exterior homology

Authors

W. G. Dwyer, University of Notre DameFollow
J. P.C. Greenlees, University of SheffieldFollow
Srikanth B. Iyengar, University of Nebraska-LincolnFollow

Date of this Version

11-2013

Citation

Bull. London Math. Soc. 45 (2013) 1235–1245 doi:10.1112/blms/bdt052

Comments

2013 London Mathematical Society. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study differential graded algebras (DGAs) whose homology is an exterior algebra over a commutative ring R on a generator of degree n, and also certain types of differential modules over these DGAs. We obtain a complete classification with R = Z or R = F_p and n ≥ –1. The examples are unexpectedly interesting.