Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities

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dc.creatorSiladic, Ivica
dc.date2002-04-03
dc.date2002-04-04
dc.date.accessioned2026-07-07T04:47:25Z
dc.date.available2026-07-07T04:47:25Z
dc.descriptionThe main result of this paper is a combinatorial description of a basis of standard level 1 module for the twisted affine Lie algebra $A_2^{(2)}.$ This description also gives two new combinatorial identities of Göllnitz (or Rogers--Ramanujan) type. Methods used through the paper are mainly developed by J. Lepowsky, R. L. Wilson, A. Meurman and M. Primc, and the crucial role in constructions plays a vertex operator algebra approach to standard representations of affine Lie algebras.
dc.description28 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/math/0204042
dc.identifierhttp://arxiv.org/abs/math/0204042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63707
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject17B67; 05A19
dc.titleTwisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities
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