The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

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dc.creatorCapparelli, Stefano
dc.creatorLepowsky, James
dc.creatorMilas, Antun
dc.date2003-10-06
dc.date2006-12-10
dc.date.accessioned2026-07-07T10:38:18Z
dc.date.available2026-07-07T10:38:18Z
dc.descriptionUsing the theory of intertwining operators for vertex operator algebras we show that the graded dimensions of the principal subspaces associated to the standard modules for $\hat{\goth{sl}(2)}$ satisfy certain classical recursion formulas of Rogers and Selberg. These recursions were exploited by Andrews in connection with Gordon's generalization of the Rogers--Ramanujan identities and with Andrews' related identities. The present work generalizes the authors' previous work on intertwining operators and the Rogers--Ramanujan recursion.
dc.description22 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0310080
dc.identifierhttp://arxiv.org/abs/math/0310080
dc.identifierRamanujanJ.12:379-397,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180675
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleThe Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
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