Volume 11 (2007)

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The Lambda algebra and Sq0

J H Palmieri

Geometry & Topology Monographs 11 (2007) 201–216

DOI: 10.2140/gtm.2007.11.201

arXiv: 0903.4975

Abstract

The action of Sq on the cohomology of the Steenrod algebra is induced by an endomorphism θ of the Lambda algebra. This paper studies the behavior of θ 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.

Keywords

Steenrod algebra, Lambda algebra, Bockstein spectral sequence

Mathematical Subject Classification

Primary: 55S10

Secondary: 18G40, 55T99

References
Publication

Received: 1 April 2005
Revised: 8 October 2005
Accepted: 15 November 2005
Published: 14 November 2007

Authors
J H Palmieri
Department of Mathematics
University of Washington
Box 354350
Seattle WA 98195-4350
USA