The Lambda algebra and Sq_0

Mathematics – Algebraic Topology

Scientific paper

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

Scientific paper

10.2140/gtm.2007.11.201

The action of Sq on the cohomology of the Steenrod algebra is induced by an
endomorphism Theta of the Lambda algebra. This paper studies the behavior of
Theta in order to understand the action of Sq; the main result is that Sq is
injective in filtrations less than 4, and its kernel on the 4-line is computed.

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