Locally extended affine Lie algebras

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dc.creatorMorita, Jun
dc.creatorYoshii, Yoji
dc.date2004-12-15
dc.date.accessioned2026-07-07T05:15:20Z
dc.date.available2026-07-07T05:15:20Z
dc.descriptionWe propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extended affine Lie algebras (LEALAs for short). We prove a conjecture by V. Kac for LEALAs. It turns out that the root system of a LEALA becomes a locally finite version of extended affine root systems. Finally, several examples of new EALAs and LEALAs are introduced, and we classify LEALAs of nullity 0 with connection to locally finite split simple Lie algebras.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0412310
dc.identifierhttp://arxiv.org/abs/math/0412310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73595
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.titleLocally extended affine Lie algebras
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