Deformations of Jordan algebras of dimension four

DOI10.1016/j.jalgebra.2013.09.040zbMath1345.17021OpenAlexW2064196388MaRDI QIDQ397855

María Eugenia Martin, Iryna Kashuba

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.09.040

zbMATH Keywords

rigidityJordan algebradeformation of algebras

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Families, moduli, classification: algebraic theory (14J10) Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (13)

The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ The geometric classification of Leibniz algebras ⋮ Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ Geometric classification of nilpotent Jordan algebras of dimension five ⋮ The classification of algebras of level two ⋮ Commutative power-associative algebras of small dimension ⋮ Unnamed Item ⋮ On degenerations of Lie superalgebras ⋮ The Variety of Two-dimensional Algebras Over an Algebraically Closed Field ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ The geometries of Jordan nets and Jordan webs ⋮ Low-dimensional commutative power-associative superalgebras ⋮ Degenerations of graph Lie algebras

Cites Work

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• The algebraic and geometric classification of associative algebras of dimension five
• Generic finite schemes and Hochschild cocycles
• Algebraic geography: Varieties of structure constants
• Commutative algebra cohology and deformations of Lie and associative algebras
• On the deformation of rings and algebras
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
• Straightening-Out and Semirigidity In Associative Algebras

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