The classification of 2-dimensional rigid algebras

DOI10.1080/03081087.2018.1519009zbMath1471.17002arXiv1810.01636OpenAlexW3103068003WikidataQ114641392 ScholiaQ114641392MaRDI QIDQ5219274

Amir Fernández Ouaridi, Antonio Jesús Calderón Martín, I. B. Kaĭgorodov

Publication date: 9 March 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01636

zbMATH Keywords

classification problemrigid algebrasconservative algebras

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items (24)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ One-generated nilpotent Novikov algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ Conservative algebras and superalgebras: a survey ⋮ Degenerations of nilpotent algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent terminal algebras ⋮ The algebraic and geometric classification of nilpotent right commutative algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The geometric classification of nilpotent Tortkara algebras ⋮ Degenerations of nilpotent associative commutative algebras ⋮ The universal conservative superalgebra ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ On rigid 2-step nilpotent Lie superalgebras ⋮ Central extensions of filiform associative algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Conservative algebras of 2-dimensional algebras
• Extension of the class of Jordan algebras
• A universal conservative algebra
• Varieties of nilpotent Lie algebras of dimension less than six
• Classification of orbit closures of 4-dimensional complex Lie algebras
• The classification of two-dimensional nonassociative algebras
• Contractions of 2-dimensional Jordan algebras
• Degenerations of pre-Lie algebras
• The geometric classification of Leibniz algebras
• The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• Degenerations of binary Lie and nilpotent Malcev algebras
• Classification of Linearly Compact Simple Rigid Superalgebras
• Conservative algebras of 2-dimensional algebras, II
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• The universal conservative superalgebra
• Degenerations of Leibniz and Anticommutative Algebras
• On the Kantor product

This page was built for publication: The classification of 2-dimensional rigid algebras