Unstable modules over the Steenrod algebra revisited

Details Unstable modules over the Steenrod algebra revisited Unstable modules over the Steenrod algebra revisited

2009-03-28

arxiv.org/abs/0903.4992v1

Geom. Topol. Monogr. 11 (2007) 245-288

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 14 November 2007

Scientific paper

10.2140/gtm.2007.11.245

A new and natural description of the category of unstable modules over the Steenrod algebra as a category of comodules over a bialgebra is given; the theory extends and unifies the work of Carlsson, Kuhn, Lannes, Miller, Schwartz, Zarati and others. Related categories of comodules are studied, which shed light upon the structure of the category of unstable modules at odd primes. In particular, a category of bigraded unstable modules is introduced; this is related to the study of modules over the motivic Steenrod algebra.

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