scientific article; zbMATH DE number 6928382

zbMath1440.20021MaRDI QIDQ4583914

José María Pérez-Izquierdo

Publication date: 28 August 2018

Full work available at URL: http://www.heldermann.de/JLT/JLT28/JLT283/jlt28037.htm#jlt283

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

loopsSabinin algebrashyporeductivenon-associative Hopf algebraspseudoreductive

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Mal'tsev rings and algebras (17D10)

Cites Work

• On the axioms for Sabinin algebras
• Nilpotent Sabinin algebras
• Loops as sections in compact Lie groups
• Multilinear algebras and Lie's theorem for formal \(n\)-loops
• Formal multiplications, bialgebras of distributions and nonassociative Lie theory
• Topologische Loops
• Topologische Loops mit schwachen Assoziativitätsforderungen
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• On multiplication groups of loops
• The geometry of binary systems
• Lie's fundamental theorems for local analytical loops
• Analytic Moufang loops in the large
• Geometry of homogeneous Lie loops
• Local algebras of a multidimensional three-web
• Loops, their cores and symmetric spaces
• Every Akivis algebra is linear
• Linear representability of Akivis algebras.
• Free Akivis algebras, primitive elements, and hyperalgebras
• Lie's correspondence for commutative automorphic formal loops
• The Campbell-Hausdorff series of local analytic Bruck loops
• Lie groups as multiplication groups of topological loops
• Quasi-simple Lie groups as multiplication groups of topological loops
• The geometry and structure of isotropy irreducible homogeneous spaces
• Kleiner Desarguesscher Satz und Dualität in projektiven Ebenen
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Algebraic Bol loops
• On Enveloping Lie Algebras of Hyporeductive Triple Algebras
• Loops as Invariant Sections in Groups, and their Geometry
• A non-associative Baker-Campbell-Hausdorff formula
• Algebraic commutative Moufang loops
• Hopf algebras in non-associative Lie theory
• Local algebras of a differential quasigroup
• Connected Abelian Groups in Compact Loops
• Invariant Affine Connections on Homogeneous Spaces
• Homogeneity of Projective Planes
• Multiplication groups of topological loops
• Multiplication groups of topological loops
• Loops in group theory and Lie theory
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