Quadratic Malcev superalgebras.
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Publication:1420626
DOI10.1016/S0022-4049(03)00145-2zbMath1082.17004OpenAlexW1963523646MaRDI QIDQ1420626
Saïd Benayadi, Helena Albuquerque
Publication date: 2 February 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00145-2
Related Items (11)
Quadratic Malcev Superalgebras with Reductive Even Part ⋮ Complete description of invariant, associative pseudo-Euclidean metrics on left Leibniz algebras via quadratic Lie algebras ⋮ Super Kupershmidt operators and Kupershmidt-Nijenhuis structures on Malcev superalgebras ⋮ Hom-Malcev superalgebras ⋮ Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras ⋮ Unnamed Item ⋮ Odd-quadratic Leibniz superalgebras ⋮ A new characterization of Kac–Moody–Malcev superalgebras ⋮ Solvable Pseudo-Euclidean Jordan Superalgebras ⋮ Quadratic (resp. symmetric) Leibniz superalgebras ⋮ Symmetric Zinbiel superalgebras
Cites Work
- Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
- The theory of Lie superalgebras. An introduction
- Lie superalgebras with semisimple even part
- Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part
- The root space decompositions of the quadratic Lie superalgebras
- Mal'tsev algebras of dimension five over a field of characteristic zero
- PRIME MALCEV SUPERALGEBRAS
- Malcev Algebras
- Invariant quadratic forms on finite dimensional lie algebras
- Algèbres de Lie et produit scalaire invariant
- Double extension of quadratic lie superalgebras
- Superalgebras with semisimple even part
- On Semisimple Malcev Algebras
- Algebres de lie orthogonales modules orthogonaux
- Introduction to Lie Algebras and Representation Theory
- Lie superalgebras
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