On P-algebras and their duals

Baker, A. (2022) On P-algebras and their duals. Technical Report. arXiv. (Unpublished)

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Publisher's URL: https://arxiv.org/abs/2212.00437


The notion of P-algebra due to Margolis, building on work of Moore & Peterson, was motivated by the case of the Steenrod algebra at a prime and its modules. We develop aspects of this theory further, focusing especially on coherent modules and finite dimensional modules. We also discuss the dual Hopf algebra of P-algebra and its comodules. One of our aims is provide a collection of techniques for calculating cohomology groups over P-algebras and their duals, in particular giving vanishing results. Much of our work is implicit in that of Margolis and others but we are unaware of systematic discussions in the literature. We give some examples illustrating topological applications which follow easily from our results.

Item Type:Research Reports or Papers (Technical Report)
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics

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