Cartan-Eilenberg cohomology and triples

DOI10.1016/0022-4049(95)00138-7zbMath0920.18005OpenAlexW2017756369MaRDI QIDQ1924666

Michael Barr

Publication date: 27 November 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00138-7

zbMATH Keywords

triplesaugmented algebrasCartan-Eilenberg theory of Lie algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (9)

On Kähler differentials of divided power algebras ⋮ Shuffle polygraphic resolutions for operads ⋮ Hopf type formulas for cyclic homology ⋮ Models for operads ⋮ Quillen-Barr-Beck (co-)homology for restricted Lie algebras. ⋮ Cohomology of restricted Lie-Rinehart algebras and the Brauer group ⋮ Cohomologies of a Lie algebra with a derivation and applications ⋮ Homology and cohomology with coefficients, of an algebra over a quadratic operad ⋮ Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras

Cites Work

• Lokal präsentierbare Kategorien. (Locally presentable categories)
• Sur quelques points d'algèbre homologique
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