Simple Diagonal Locally Finite Lie Algebras

DOI10.1112/S0024611598000495zbMath0904.17009MaRDI QIDQ3839938

A. A. Baranov

Publication date: 11 August 1998

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finitary Lie algebrasdiagonal locally finite Lie algebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65)

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Diagonal locally finite Lie algebras and a version of Ado's theorem, Cartan subalgebras of root-reductive Lie algebras, Groups of periodically defined linear transformations of an infinite-dimensional vector space, Generalization of Jordan-Lie inner ideals of finite dimensional associative algebras, The Bott–Borel–Weil Theorem for direct limit groups, Locally simple subalgebras of diagonal Lie algebras, Simple Lie subalgebras of locally finite associative algebras, Locally semisimple and maximal subalgebras of the finitary Lie algebras \(\text{gl}(\infty)\), \(\text{sl}(\infty)\), \(\text{so}(\infty)\), and \(\text{sp}(\infty)\), Irreducible finitary Lie algebras over fields of characteristic zero, Local systems in simple finitary lie algebras, Finitary simple Lie algebras, Finitary Lie algebras., Serial subalgebras of finitary Lie algebras