The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator

DOI10.1080/00927872.2017.1327052zbMath1447.17021OpenAlexW2614923162MaRDI QIDQ4643653

Hani Abdelwahab, Ahmed Sadek Hegazi

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1327052

zbMATH Keywords

Jordan algebraannihilator extension

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55)

Related Items (23)

Central extensions of 2-filiform Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ One-generated nilpotent Novikov algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ Central extensions of 4-dimensional binary Lie algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ A class of non-associative Nilpotent Jordan algebras ⋮ Degenerations of nilpotent algebras ⋮ The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ Unified computational approach to nilpotent algebra classification problems ⋮ The classification of nilpotent Lie-Yamaguti algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ Central extensions of filiform associative algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras

Cites Work

• Classification of five-dimensional nilpotent Jordan algebras
• Generic finite schemes and Hochschild cocycles
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
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