Dualisms of Lie algebras

DOI10.1016/0021-8693(79)90143-1zbMath0409.17008OpenAlexW1965858326WikidataQ115367486 ScholiaQ115367486MaRDI QIDQ1258812

David A. Towers

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90143-1

zbMATH Keywords

Lattice of SubalgebrasSolvable Lie Algebra Dualism

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (6)

Intersections of maximal subalgebras in Lie algebras ⋮ Lattices with modular identity and Lie algebras ⋮ Projection of rational Lie rings ⋮ Lie algebras whose lattice of ideals is closely related with a subspace lattice ⋮ Lattices of subrepresentations of Lie algebras and their isomorphisms ⋮ Fundamental theorem of projective geometry in Lie modules and algebras

Cites Work

• On normaliser preserving lattice isomorphisms between nilpotent groups
• Lattic isomorphisms of lie algebras
• The Frattini Subalgebra of a Lie Algebra
• A Frattini Theory for Algebras
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