Cotensor products of modules

@article{Abrams1999CotensorPO,
  title={Cotensor products of modules},
  author={L. Abrams and C. Weibel},
  journal={Transactions of the American Mathematical Society},
  year={1999},
  volume={354},
  pages={2173-2185}
}
  • L. Abrams, C. Weibel
  • Published 1999
  • Mathematics
  • Transactions of the American Mathematical Society
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□N of two comodules in terms of the appropriate Hochschild cohomology of the A-bimodule M ⊗ 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. 

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