Is it possible to find for any \(n,m\in\mathbb N\) a Jordan algebra of nilpotency type \((n,1,m)\)?

DOI10.1007/s13366-016-0292-8zbMath1410.17027OpenAlexW2465708514MaRDI QIDQ330655

Hani Abdelwahab, Ahmed Sadek Hegazi

Publication date: 26 October 2016

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-016-0292-8

zbMATH Keywords

automorphism groupannihilator extensionnilpotent Jordan algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55) Idempotents, Peirce decompositions (17C27)

Related Items (4)

Central extensions of filiform Zinbiel algebras ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras

Cites Work

• Six-dimensional nilpotent Lie algebras
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• The algebraic and geometric classification of associative algebras of dimension five
• Generic finite schemes and Hochschild cocycles
• Contractions of 2-dimensional Jordan algebras
• Contractions of Low-Dimensional Nilpotent Jordan Algebras
• JORDAN NILALGEBRAS OF NILINDEXNAND DIMENSIONN+1
• Four dimensional Jordan algebras
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