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The Lambda algebra and Sq0
J H Palmieri
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Geometry & Topology Monographs 11
(2007) 201–216
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Abstract
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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.
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Keywords
Steenrod algebra, Lambda algebra,
Bockstein spectral sequence
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Mathematical Subject Classification
Primary: 55S10
Secondary: 18G40, 55T99
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Publication
Received: 1 April 2005
Revised: 8 October 2005
Accepted: 15 November 2005
Published: 14 November 2007
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