CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
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Publication:5401610
DOI10.1142/S0219498813500813zbMath1301.17022arXiv1205.5714OpenAlexW2963189604MaRDI QIDQ5401610
Publication date: 10 March 2014
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.5714
Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)
Related Items (25)
The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ One-generated nilpotent Novikov algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ The geometric classification of Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ On the classification of 3-dimensional complex hom-Lie algebras ⋮ Degenerations of nilpotent algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ On finite dimensional simple Novikov superalgebras ⋮ Degenerations of Jordan superalgebras ⋮ Degenerations of binary Lie and nilpotent Malcev algebras ⋮ On degenerations of Lie superalgebras ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The geometric classification of nilpotent Tortkara algebras ⋮ Degenerations of nilpotent associative commutative algebras ⋮ The Variety of Two-dimensional Algebras Over an Algebraically Closed Field ⋮ Degenerations of Leibniz and Anticommutative Algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras ⋮ Degenerations of graph Lie algebras
Cites Work
- A characterization of orbit closure and applications
- Hopf algebras, renormalization and noncommutative geometry
- Classification of orbit closures of 4-dimensional complex Lie algebras
- Classification of Novikov algebras
- Two orbits: when is one in the closure of the other?
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics
- Novikov structures on solvable Lie algebras
- Orbit closure diagram for the space of quadruples of quinary alternating forms
- A class of operator algebras which are determined by groups
- The classification of Novikov algebras in low dimensions
- On degenerations of finite-dimensional nilpotent complex Leibniz algebras
- Contractions of low-dimensional Lie algebras
- Degenerations of pre-Lie algebras
- On the Contraction of Groups and Their Representations
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