Homology and cohomology with coefficients, of an algebra over a quadratic operad

DOI10.1016/S0022-4049(97)00131-XzbMath0967.18004MaRDI QIDQ1295629

David Balavoine

Publication date: 19 August 1999

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

zbMATH Keywords

operadsLeibniz algebracorepresentationscohomology with coefficientscomp-operationshomology for algebra over operadhomology with coefficients

Mathematics Subject Classification ID

Leibniz algebras (17A32)

Related Items (13)

Cohomology and deformations of dendriform algebras, and Dend_∞-algebras ⋮ Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras ⋮ Theory of Koszul operads and homology of Poisson algebras ⋮ Three Schur functors related to pre-Lie algebras ⋮ André-Quillen cohomology of algebras over an operad ⋮ Weyl \(n\)-algebras ⋮ Deformations of Loday-type algebras and their morphisms ⋮ Operads and PROPs ⋮ \(\Gamma\)-homology of algebras over an operad ⋮ Leibniz algebras with derivations ⋮ Cohomology with coefficients for operadic coalgebras ⋮ On equivariant dendriform algebras ⋮ The intrinsic formality of \(E_n\)-operads

Cites Work

• An introduction to algebraic deformation theory
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Koszul duality for operads
• Cartan-Eilenberg cohomology and triples
• The cohomology structure of an associative ring
• The geometry of iterated loop spaces
• On the deformation of rings and algebras
• Commutative Algebras and Cohomology
• Models for operads
• CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
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