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

Yoshitaka Koyama

paper

Bosonization of Admissible Representations of $U_{q} (s l_{2})$ at Level $- \frac{1}{2}$ and $q$ -Vertex Operators

arXiv:q-alg/9605029

Abstract

We construct a representation of $U_{q} (s l_{2})$ 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.

arXiv comment23 pages, LaTex

Bosonization of Admissible Representations of Uq​(sl2​) at Level −21​ and q-Vertex Operators

Abstract

Bosonization of Admissible Representations of $U_{q} (s l_{2})$ at Level $- \frac{1}{2}$ and $q$ -Vertex Operators