The Universal Steenrod Algebra at Odd Primes

DOI10.1081/AGB-120037401zbMath1061.55014OpenAlexW2029034765MaRDI QIDQ3158231

Adriana Ciampella, Luciano Amito Lomonaco

Publication date: 21 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120037401

zbMATH Keywords

group cohomologySteenrod algebraBorel subgroupAdem relationsdiagonal homology

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Adams spectral sequences (55T15)

Related Items (9)

A note on the algebra of operations for Hopf cohomology at odd primes ⋮ Length-preserving monomorphisms for Steenrod algebras at odd primes ⋮ An example in the Singer category of algebras with coproducts at odd primes ⋮ Length-preserving monomorphisms for some algebras of operations ⋮ An embedding for the \(E_{2}\)-term of the Adams spectral sequence at odd primes ⋮ Searching for fractal structures in the universal Steenrod algebra at odd primes ⋮ Chasing non-diagonal cycles in a certain system of algebras of operations ⋮ On the homology of the universal Steenrod algebra at odd primes ⋮ On the action of the Iwahori–Hecke algebra on modular invariants

Cites Work

• The diagonal cohomology of the universal Steenrod algebra
• Resolutions of modules over the Steenrod algebra and the classical theory of invariants
• On Singer's invariant-theoretic description of the lambda algebra: A mod \(p\) analogue
• The mod-\(p\) lower central series and the Adams spectral sequence
• A Phenomenon of Reciprocity in the Universal Steenrod Algebra

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