Integrable modules for affine Lie superalgebras

dc.creatorRao, S. Eswara
dc.creatorFutorny, Vyacheslav
dc.date2003-11-13
dc.date2007-10-20
dc.date.accessioned2026-07-07T08:37:10Z
dc.date.available2026-07-07T08:37:10Z
dc.descriptionIrreducible nonzero level modules with finite-dimensional weight spaces are studied for non-twisted affine Lie superalgebras. A complete classification is obtained for superalgebras A(m,n)^ and C(n)^. In other cases the classification problem is reduced to the classification of cuspidal modules over finite-dimensional cuspidal Lie superalgebras described by Dimitrov, Mathieu and Penkov. It is also shown that any irreducible weakly integrable (in the sense of Kac and Wakimoto) module is highest weight.
dc.description21 page
dc.identifierhttps://arxiv.org/abs/math/0311207
dc.identifierhttp://arxiv.org/abs/math/0311207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140307
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subject17B67
dc.titleIntegrable modules for affine Lie superalgebras
dc.typetext

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