Cotensor products of modules
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- by L. Abrams and C. Weibel PDF
- Trans. Amer. Math. Soc. 354 (2002), 2173-2185 Request permission
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.References
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Additional Information
- L. Abrams
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
- Address at time of publication: Department of Mathematics, George Washington University, Washington, D.C. 20052
- Email: labrams@gwu.edu
- C. Weibel
- Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
- MR Author ID: 181325
- Email: weibel@math.rutgers.edu
- Received by editor(s): April 18, 2000
- Received by editor(s) in revised form: June 14, 2001
- Published electronically: February 1, 2002
- Additional Notes: The second author was partially supported by NSF grants.
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 2173-2185
- MSC (2000): Primary 16E30; Secondary 16W30, 16E40
- DOI: https://doi.org/10.1090/S0002-9947-02-02883-0
- MathSciNet review: 1885648