Orthogonal Conjugacies in Associative and Lie Algebras

DOI10.2307/1994088zbMath0127.25704OpenAlexW4252840758MaRDI QIDQ5334346

Earl J. Taft

Publication date: 1964

Full work available at URL: https://doi.org/10.2307/1994088

zbMATH Keywords

Lie algebrasassociative algebrasorthogonal conjugacy

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (18)

Some remarks on invariant substructures of associative algebras ⋮ On the structure of geodesic orbit Riemannian spaces ⋮ Codimensions of algebras with additional structures ⋮ A Compatibility Condition Between Invariant Riemannian Metrics and Levi-Whitehead Decompositions on a Coset Space ⋮ Lie algebras with triality ⋮ Group graded algebras and multiplicities bounded by a constant. ⋮ A characterization of CR quadrics with a symmetry property ⋮ Lorentzian symmetric spaces ⋮ Graded polynomial identities and codimensions: computing the exponential growth. ⋮ Orthogonal conjugacies in finite groups ⋮ On groups of automorphisms of Lie algebras ⋮ On certain \(d\)-groups of algebra automorphisms and antiautomorphisms ⋮ Cohomology of groups of algebra automorphisms ⋮ Almost algebraic Lie algebras ⋮ Invariant radical splittings: a Hopf approach ⋮ On the splitting of Hopf algebra modules ⋮ Multialternating graded polynomials and growth of polynomial identities ⋮ Cohomology of algebraic groups and invariant splitting of algebras

Cites Work

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• Invariant Wedderburn factors
• Invariant Levi factors
• Uniqueness of invariant Wedderburn factors
• On semi-simple automorphisms of Lie algebras
• Fully Reducible Subgroups of Algebraic Groups
• Cayley Symmetries in Associative Algebras
• On the Radical of a Lie Algebra

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