Diagonal locally finite Lie algebras and a version of Ado's theorem

DOI10.1006/jabr.1997.7182zbMath0999.17012OpenAlexW2055783164WikidataQ115395932 ScholiaQ115395932MaRDI QIDQ1379059

A. A. Baranov

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7182

zbMATH Keywords

Ado's theoremdiagonal locally finite Lie algebraslocally perfect Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Diagonal direct limits of simple lie algebras ⋮ Cartan subalgebras of root-reductive Lie algebras ⋮ Simple, locally finite dimensional Lie algebras in positive characteristic ⋮ Locally simple subalgebras of diagonal Lie algebras ⋮ Simple Lie subalgebras of locally finite associative algebras ⋮ Quasiclassical Lie algebras ⋮ Locally semisimple and maximal subalgebras of the finitary Lie algebras \(\text{gl}(\infty)\), \(\text{sl}(\infty)\), \(\text{so}(\infty)\), and \(\text{sp}(\infty)\) ⋮ Finitary simple Lie algebras ⋮ Finitary Lie algebras. ⋮ Serial subalgebras of finitary Lie algebras

Cites Work

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