Duals of P-algebras and their comodules
Andrew Baker (University of Glasgow)
Abstract: P-algebras are connected graded cocommutative Hopf algebras which are unions of finite dimensional Hopf algebras (which are also Poincare duality algebras). These are quasi-Frobenius algebras and have some remarkable homological properties. The motivating examples for which the theory was produced are the Steenrod algebra at a prime and large sub and quotient Hopf algebras.
The dual of a P-algebra is a commutative Hopf algebra and I will discuss some homological properties of its comodules. In particular there is a large class of coherent comodules which admit finitely generated projective resolutions, but finite dimensional comodules have no non-trivial maps from these.
Using some Cartan-Eilenberg spectral sequences this can be applied to show that certain Bousfield classes of spectra are distinct, thus extending results of Ravenel.
algebraic topologycategory theorygroup theoryK-theory and homology
Audience: researchers in the topic
( slides )
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| Organizer: | Cihan Okay* |
| *contact for this listing |