Sheared algebra maps and operation bialgebras for mod 2 homology and cohomology

DOI10.1090/S0002-9947-99-02468-XzbMath0946.55012OpenAlexW1962144656MaRDI QIDQ4942847

Frank Williams, David J. Pengelley

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02468-x

zbMATH Keywords

Steenrod algebraDyer-Lashof algebraKudo-Araki-May algebraNishida relationssheared algebra map

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Steenrod algebra (55S10) Operations and obstructions in algebraic topology (55S99) Dyer-Lashof operations (55S12) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

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A map between the mod odd Steenrod and Dyer-Lashof subcoalgebras ⋮ A new action of the Kudo-Araki-May algebra on the dual of the symmetric algebras, with applications to the hit problem ⋮ \(A\)-generators for ideals in the Dickson algebra ⋮ Unstable modules with only the top \(k\) Steenrod operations

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