Dimensions of orbits and strata in complex and real classical Lie algebras

DOI10.1063/1.525407zbMath0488.22037OpenAlexW2053609414MaRDI QIDQ3949231

Dana Schlomiuk, Christiane Rousseau, Jirí Patera

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525407

zbMATH Keywords

Jordan normal formexplicit expressionsstratareal Lie algebrascomplex Lie algebrascodimensions of orbits

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence ⋮ Versal deformations of elements of classical Jordan algebras

Cites Work

• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Complex orthogonal and symplectic matrices depending on parameters
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