Duality in infinite dimensional Fock representations

Simple item page
dc.creatorWang, Weiqiang
dc.date1997-10-28
dc.date.accessioned2026-07-07T05:57:40Z
dc.date.available2026-07-07T05:57:40Z
dc.descriptionWe construct and study in detail various dual pairs acting on some Fock representations between a finite dimensional Lie group and a completed infinite rank affine algebra associated to an infinite affine Cartan matrix. We give explicit decompositions of a Fock representation into a direct sum of irreducible isotypic subspaces with respect to the action of a dual pair, present explicit formulas for the common highest weight vectors and calculate the corresponding highest weights. We further outline applications of these dual pairs to the study of tensor products of modules of such an infinite dimensional Lie algebra.
dc.descriptionLatex, 46 pages
dc.identifierhttps://arxiv.org/abs/q-alg/9710035
dc.identifierhttp://arxiv.org/abs/q-alg/9710035
dc.identifierCommun. Contemp. Math., Vol. 1 (1999) 155--199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88067
dc.subjectQuantum Algebra
dc.titleDuality in infinite dimensional Fock representations
dc.typetext

Files

Collections

arXiv