Cotensor products of modules
Rings and Algebras
2007-05-23 v1 Algebraic Topology
Abstract
Let C be a coalgebra over a field k and A its dual algebra. The category of C-comodules is equivalent to a category of A-modules. We use this to interpret the cotensor product M \square N of two comodules in terms of the appropriate Hochschild cohomology of the A-bimodule M \otimes N, when A is finite-dimensional, profinite, graded or differential-graded. The main applications are to Galois cohomology, comodules over the Steenrod algebra, and the homology of induced fibrations.
Cite
@article{arxiv.math/9912211,
title = {Cotensor products of modules},
author = {Lowell Abrams and Charles Weibel},
journal= {arXiv preprint arXiv:math/9912211},
year = {2007}
}
Comments
16 pages, LaTeX