Crossed modules for Leibniz n-algebras

DOI10.1515/FORUM.2008.040zbMath1236.17005WikidataQ122980888 ScholiaQ122980888MaRDI QIDQ3534804

Emzar Khmaladze, Manuel Ladra Gonzalez, José Manuel Casas Mirás

Publication date: 5 November 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (13)

Unnamed Item ⋮ 3-Lie∞-algebras and 3-Lie 2-algebras ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Crossed modules for Lie 2-algebras ⋮ Higher Hopf formula for homology of Leibniz \(n\)-algebras ⋮ Leibniz 2-Algebras and Twisted Courant Algebroids ⋮ From simplicial homotopy to crossed module homotopy in modified categories of interest ⋮ Notes on Leibniz \(n\)-algebras ⋮ Obstruction theory in action accessible categories ⋮ More on crossed modules in Lie, Leibniz, associative and diassociative algebras ⋮ Some properties of the Schur multiplier and stem covers of Leibniz crossed modules ⋮ Representability of actions in the category of (Pre)crossed modules in Leibniz algebras ⋮ On the Dimension of Non-Abelian Tensor Squares of $n$-Lie Algebras

Cites Work

• Leibniz and Lie algebra structures for Nambu algebra
• Spaces with finitely many non-trivial homotopy groups
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Leibniz n-algebras
• Generalized Hamiltonian Dynamics
• Homology with Trivial Coefficients of Leibnizn-Algebras
• Crossed extensions of leibniz algebras
• On Solvability and Nilpotency of Leibnizn-Algebras

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