Bosonization of Admissible Representations of $U_q(\widehat{sl}_2)$ at Level $-\frac{1}{2}$ and $q$-Vertex Operators

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dc.creatorKoyama, Yoshitaka
dc.date1996-05-20
dc.date.accessioned2026-07-07T09:16:58Z
dc.date.available2026-07-07T09:16:58Z
dc.descriptionWe construct a representation of $U_q(\widehat{sl}_2)$ at level $-1/2$ by using the bosonic Fock spaces. The irreducible modules are obtained as the kernel of a certain operator, in contrast to the construction by Feingold and Frenkel for $q=1$ where such a procedure is not necessary. We also bosonize the $q$-vertex operators associated with the vector representation.
dc.description23 pages, LaTex
dc.identifierhttps://arxiv.org/abs/q-alg/9605029
dc.identifierhttp://arxiv.org/abs/q-alg/9605029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153545
dc.subjectQuantum Algebra
dc.titleBosonization of Admissible Representations of $U_q(\widehat{sl}_2)$ at Level $-\frac{1}{2}$ and $q$-Vertex Operators
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