Adem-Cartan Operads

DOI10.1080/00927870500243205zbMath1095.55010arXivmath/0209363OpenAlexW2166731990MaRDI QIDQ5478675

Muriel Livernet, David Chataur

Publication date: 13 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0209363

zbMATH Keywords

Steenrod algebralevel algebrasecondary cohomology operationAdem-Cartan operad

Mathematics Subject Classification ID

Related Items (8)

Cochain level May-Steenrod operations ⋮ Cup i-product on the communitative differential forms and Steenrod squares. ⋮ An example in the Singer category of algebras with coproducts at odd primes ⋮ Iterated bar complexes of \(E\)-infinity algebras and homology theories ⋮ DIVIDED POWER ALGEBRAS OVER AN OPERAD ⋮ Divided power algebras and distributive laws ⋮ On the homology of the universal Steenrod algebra at odd primes ⋮ A cochain level proof of Adem relations in the mod 2 Steenrod algebra

Cites Work

• On the non-existence of elements of Hopf invariant one
• Koszul duality for operads
• Axiomatic homotopy theory for operads
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• Products of cocycles and extensions of mappings
• Reduced powers of cohomology classes
• Sur l'itération des opérations de Steenrod
• Homological algebra of homotopy algebras
• Homotopy algebras are homotopy algebras
• Combinatorial operad actions on cochains
• The Iteration of the Steenrod Squares in Algebraic Topology

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