Versal deformations of elements of classical Jordan algebras

DOI10.1063/1.525869zbMath0523.17001OpenAlexW1989821483MaRDI QIDQ3035654

Jirí Patera, Christiane Rousseau

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525869

zbMATH Keywords

versal deformationsnormal forms of elementsJordan algebras with involution

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Jordan structures associated with other structures (17C50) Canonical forms, reductions, classification (15A21) Noncommutative Jordan algebras (17A15)

Related Items (6)

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two ⋮ Miniversal deformations of matrices of bilinear forms ⋮ Miniversal deformations of matrices under *congruence and reducing transformations ⋮ Generic families of matrix pencils and their bifurcation diagrams ⋮ Transformation to versal deformations of matrices ⋮ On near and the nearest correlation matrix

Cites Work

• On an algebraic generalization of the quantum mechanical formalism
• Superposition principles for matrix Riccati equations
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Dimensions of orbits and strata in complex and real classical Lie algebras
• Complex orthogonal and symplectic matrices depending on parameters
• Versal deformations of elements of real classical Lie algebras
• ON MATRICES DEPENDING ON PARAMETERS

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