Annihilating Fields of Standard Modules for Affine Lie Algebras

dc.creatorBorcea, Julius
dc.date2001-05-03
dc.date.accessioned2026-07-07T08:20:34Z
dc.date.available2026-07-07T08:20:34Z
dc.descriptionGiven an affine Kac-Moody Lie algebra $\tilde{\mathfrak{g}}[σ]$ of arbitrary type, we determine certain minimal sets of annihilating fields of standard $\tilde{\mathfrak{g}}[σ]$-modules. We then use these sets in order to obtain a characterization of standard $\tilde{\mathfrak{g}}[σ]$-modules in terms of irreducible loop $\tilde{\mathfrak{g}}[σ]$-modules, which proves to be a useful tool for combinatorial constructions of bases for standard $\tilde{\mathfrak{g}}[σ]$-modules.
dc.description15 pages, no figures, LaTeX. To appear in Mathematische Zeitschrift
dc.identifierhttps://arxiv.org/abs/math/0105021
dc.identifierhttp://arxiv.org/abs/math/0105021
dc.identifierMathematische Zeitschrift 237 (2001), 301-319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135106
dc.subjectQuantum Algebra
dc.subjectPrimary: 17B67, 17B69; Secondary: 81R10
dc.titleAnnihilating Fields of Standard Modules for Affine Lie Algebras
dc.typetext

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