Locally semisimple and maximal subalgebras of the finitary Lie algebras $gl(\infty)$, $sl(\infty)$, $so(\infty)$, and $sp(\infty)$

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dc.creatorDimitrov, Ivan
dc.creatorPenkov, Ivan
dc.date2008-09-15
dc.date.accessioned2026-07-07T10:02:51Z
dc.date.available2026-07-07T10:02:51Z
dc.descriptionWe describe all locally semisimple subalgebras and all maximal subalgebras of the finitary Lie algebras $\gl(\infty), \sl(\infty), \so(\infty)$, and $\sp(\infty)$. For simple finite--dimensional Lie algebras these classes of subalgebras have been described in the classical works of A. Malcev and E. Dynkin. Key words (2000 MSC): 17B05 and 17B65.
dc.identifierhttps://arxiv.org/abs/0809.2536
dc.identifierhttp://arxiv.org/abs/0809.2536
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169122
dc.subjectRepresentation Theory
dc.subject17B05; 17B65
dc.titleLocally semisimple and maximal subalgebras of the finitary Lie algebras $gl(\infty)$, $sl(\infty)$, $so(\infty)$, and $sp(\infty)$
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