Contractions of Low-Dimensional Nilpotent Jordan Algebras

DOI10.1080/00927871003649393zbMath1253.17019arXiv0805.3758OpenAlexW2055065526MaRDI QIDQ3015091

Javier Fresán, Juan Margalef-Bentabol, José María Ancochea Bermúdez

Publication date: 8 July 2011

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

Full work available at URL: https://arxiv.org/abs/0805.3758

zbMATH Keywords

contractionrigidityJordan algebranilpotent

Mathematics Subject Classification ID

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

Related Items (16)

The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ Is it possible to find for any \(n,m\in\mathbb N\) a Jordan algebra of nilpotency type \((n,1,m)\)? ⋮ Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ Geometric classification of nilpotent Jordan algebras of dimension five ⋮ Deformations of Jordan algebras of dimension four ⋮ Jacobi-Jordan algebras ⋮ The classification of algebras of level two ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Degenerations of nilpotent algebras ⋮ Nilpotent evolution algebras over arbitrary fields ⋮ The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator ⋮ Degenerations of Jordan superalgebras ⋮ On degenerations of Lie superalgebras ⋮ Construction of Nilpotent Jordan Algebras Over any Arbitrary Field ⋮ Degenerations of graph Lie algebras ⋮ Classification of five-dimensional nilpotent Jordan algebras

Cites Work

• Unnamed Item
• Prime Jordan algebras. II
• On an algebraic generalization of the quantum mechanical formalism
• Contractions of 2-dimensional Jordan algebras
• On the deformation of rings and algebras
• Cohomology and deformations of algebraic structures

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