Almost algebraic Lie algebras

DOI10.1016/0021-8693(68)90061-6zbMath0197.03002OpenAlexW1993394721WikidataQ115367765 ScholiaQ115367765MaRDI QIDQ2539665

Jonathan Brezin, Louis Auslander

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1016/0021-8693(68)90061-6

zbMATH Keywords

almost algebraic Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Related Items (19)

On the semi-center of a universal enveloping algebra ⋮ Rigidity problem for lattices in solvable Lie groups ⋮ Elementary Lie algebras and Lie \(A\)-algebras ⋮ On a conjecture of G. D. Mostow and the structure of solvmanifolds ⋮ Minimal sets of homogeneous flows ⋮ On the Selberg condition for subgroups of solvable Lie groups ⋮ Supplements on the theory of exponential Lie groups ⋮ Applications of the semisimple splitting ⋮ An exposition of the structure of solvmanifolds. Part I: Algebraic theory ⋮ Splittable Lie groups and Lie algebras ⋮ On extensions of free nilpotent Lie algebras of type 2 ⋮ Further Results on Elementary Lie Algebras and Lie A-Algebras ⋮ Lie groups and homogeneous spaces ⋮ Horispherical subalgebras of real Lie algebras ⋮ Measurable Quotients of Unipotent Translations on Homogeneous Spaces ⋮ Locally compact unimodular groups with atomic duals ⋮ Structure of solvable Lie groups ⋮ Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore ⋮ Weights of Semi-Invariants of the Quotient Division Ring of an Enveloping Algebra

Cites Work

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• Algebraic Lie algebras
• Self-adjoint groups
• On semi-simple automorphisms of Lie algebras
• Fully Reducible Subgroups of Algebraic Groups
• Orthogonal Conjugacies in Associative and Lie Algebras
• Modifications of Solvmanifolds and G-Induced Flows
• G-Induced Flows
• On the Radical of a Lie Algebra

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