The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four

DOI10.1007/s13398-022-01344-zOpenAlexW4307730285MaRDI QIDQ2681958

Maria Elisabete Félix Barreiro Carvalho, Amir Fernández Ouaridi, Hani Abdelwahab, Antonio Jesús Calderón Martín

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06403

zbMATH Keywords

annihilator extensionalgebraic classificationgeometric classificationnilpotent Lie triple systemsnon-associative triple systems

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Fibrations, degenerations in algebraic geometry (14D06) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99) Ternary compositions (17A40)

Related Items

The algebraic classification and degenerations of nilpotent Poisson algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of five-dimensional nilpotent Jordan algebras
• The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator
• Six-dimensional nilpotent Lie algebras
• The classification of 5-dimensional \(p\)-nilpotent restricted Lie algebras over perfect fields. I.
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• Varieties of nilpotent Lie algebras of dimension less than six
• A characterization of orbit closure and applications
• Classification of orbit closures of 4-dimensional complex Lie algebras
• Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2
• Nilpotent ideals in Lie and anti-Lie triple systems
• The algebraic and geometric classification of nilpotent assosymmetric algebras
• Central extensions of 4-dimensional binary Lie algebras
• Degenerations of nilpotent algebras
• Degenerations of Jordan superalgebras
• The algebraic and geometric classification of nilpotent Novikov algebras
• Über eine Beziehung zwischen Malcev-Algebren und Lie-Tripelsystemen
• On classification of four-dimensional nilpotent Leibniz algebras
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
• Degenerations of 6-dimensional nilpotent lie algebras over C
• Degenerations of pre-Lie algebras
• On the classification of lie and jordan triple systems
• On Rigid 2-Step Nilpotent Lie Algebras
• The geometric classification of Leibniz algebras
• Classification of nilpotent associative algebras of small dimension
• The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator
• Degenerations of binary Lie and nilpotent Malcev algebras
• Degenerations of Jordan Algebras and “Marginal” Algebras
• On the classification of bilinear maps with radical of a fixed codimension
• Complete classification of algebras of level two
• The geometric classification of nilpotent Tortkara algebras
• The classification of 2-dimensional rigid algebras
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• The algebraic and geometric classification of nilpotent binary Lie algebras
• Degenerations of Leibniz and Anticommutative Algebras
• CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
• Lie and Jordan Triple Systems
• General Representation Theory of Jordan Algebras
• A Structure Theory of Lie Triple Systems