The variety of dual mock-Lie algebras
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Publication:2220278
DOI10.2478/cm-2020-0019zbMath1490.17003arXiv1910.01484OpenAlexW3096709839MaRDI QIDQ2220278
L. M. Camacho, Viktor Lopatkin, Mohammed A. Salim, I. B. Kaĭgorodov
Publication date: 22 January 2021
Published in: Communications in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01484
degenerationnilpotent algebracentral extensionmock-Lie algebraalgebraic classificationgeometric classificationanticommutative algebradual mock-Lie algebra
Group actions on varieties or schemes (quotients) (14L30) Fibrations, degenerations in algebraic geometry (14D06) Nonassociative algebras satisfying other identities (17A30)
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Cites Work
- 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
- Jacobi-Jordan algebras
- Special and exceptional mock-Lie algebras
- 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
- Jordan-Lie super algebra and Jordan-Lie triple system
- The variety of 7-dimensional 2-step nilpotent Lie algebras
- The algebraic and geometric classification of nilpotent anticommutative algebras
- The algebraic and geometric classification of nilpotent Novikov algebras
- Erratum and addendum to ‘‘Central extensions of current algebras”
- Degenerations of 6-dimensional nilpotent lie algebras over C
- On Rigid 2-Step Nilpotent Lie Algebras
- The geometric classification of Leibniz algebras
- Classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center
- Classification of nilpotent associative algebras of small dimension
- Degenerations of binary Lie and nilpotent Malcev algebras
- Complete classification of algebras of level two
- The geometric classification of nilpotent Tortkara 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