Bosonization of Admissible Representations of $U_q(\widehat{sl}_2)$ at Level $\frac{1}{2}$ and $q$Vertex Operators
Abstract
We 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.
 Publication:

eprint arXiv:qalg/9605029
 Pub Date:
 May 1996
 DOI:
 10.48550/arXiv.qalg/9605029
 arXiv:
 arXiv:qalg/9605029
 Bibcode:
 1996q.alg.....5029K
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 23 pages, LaTex