Coalgebraic approach to the Loday infinity category, stem differential for \(2n\)-ary graded and homotopy algebras
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Publication:968265
DOI10.5802/aif.2525zbMath1208.53084arXiv0809.4328OpenAlexW1601627640MaRDI QIDQ968265
Publication date: 5 May 2010
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.4328
Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cohomology of Lie (super)algebras (17B56) Coalgebras and comodules; corings (16T15)
Related Items (24)
3-Lie∞-algebras and 3-Lie 2-algebras ⋮ The Pontryagin class for pre-Courant algebroids ⋮ A tale of three homotopies ⋮ Leibniz 2-Algebras and Twisted Courant Algebroids ⋮ The first Pontryagin class of a quadratic Lie 2-algebroid ⋮ Homological sections of Lie algebroids ⋮ On the category of Lie \(n\)-algebroids ⋮ Relative Rota–Baxter Leibniz algebras, their characterization and cohomology ⋮ Derived brackets and sh Leibniz algebras ⋮ Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids ⋮ Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras ⋮ \(L _{\infty }\)-algebras from multisymplectic geometry ⋮ From Atiyah classes to homotopy Leibniz algebras ⋮ Cohomology of hemistrict Lie 2-algebras ⋮ Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation ⋮ Higher algebra over the Leibniz operad ⋮ On non-abelian extensions of Leibniz algebras ⋮ Homotopy Loday Algebras and Symplectic $2$-Manifolds ⋮ $L_\infty$ and $A_\infty$ structures: then and now ⋮ Leibniz algebras with derivations ⋮ The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Leibniz-infinity morphisms for derived brackets ⋮ Free Courant and derived Leibniz pseudoalgebras
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