Universal enveloping algebras of Leibniz algebras and (co)homology

1993/12/01 by Jean-Louis Loday, Teimuraz Pirashvili · 43 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1007/bf01445099

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• On non-abelian extensions of Leibniz algebras
• From affine algebraic racks to Leibniz algebras and Yang–Baxter operators
• A subcomplex of Leibniz complex
• On universal central extensions of Hom_Leibniz algebras
• On distributive laws in derived bracket construction and homotopy theory of derived bracket Leibniz algebras
• A New Approach to Defining Cochain Complexes for dual Leibniz algebra
• Combinatorial problems about free groups and algebras
• Polynomial Identities and Codimensions of Two- and Three-Dimensional Metabelian Non-Lie Leibniz Algebras
• (Bi)Hom-Leibniz algebras
• Cohomology and deformation theory of Averaging Leibniz algebras
• Remarks on Leibniz algebras
• Cyclic Leibniz Algebras
• Geometry of Deformations via Incidence Varieties
• Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals
• Nilpotent Sabinin algebras
• Solvable Leibniz algebra with non-Lie and non-split naturally graded filiform nilradical and its rigidity
• A Characteristic Map for Symplectic Manifolds
• On Leibniz algebras, whose subalgebras are either ideals or self-idealizing
• Lie-like Algebras (Superalgeras)
• Biderivations of complete Leibniz algebras
• Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L⁴
• Leibniz-dendriform bialgebras and relative Rota-Baxter operators
• Solvable Leibniz algebras with triangular nilradical
• On isomorphism classes and invariants of low dimensional complex filiform Leibniz algebras (part 2)
• The Levi-Civita products of Leibniz algebras with nondegenerate skew-symmetric 2-cocycles
• Derivations in Dialgebras Derivations and Biderivations in Dialgebras
• Universal central extensions of superdialgebras of matrices
• A relative theory of universal central extensions
• Noncommutative renormalization for massless QED
• On classification of complex filiform Leibniz algebras
• A characterization of perfect Leibniz algebras
• Leibniz Homology, Characteristic Classes and K-theory
• Novikov-Jordan algebras
• Derived bracket construction up to homotopy and Schroder numbers
• A counterexample to a Proposition of Feldvoss-Wagemann and Burde-Wagemann
• Some remarks on semisimple Leibniz algebras
• On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8
• Gröbner-Shirshov bases theory and extensions of Leibniz superalgebras
• On exact Courant algebras
• n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations
• Classification of three-dimensional Nijenhuis Leibniz algebras
• Left-right Noncommutative Poisson algebras
• Representations and relative Rota-Baxter operators of Hom-Leibniz Poisson algebras