Vertex Operator of $U_q(\widehat{B_l})$ for Level One

Abstract

In this paper,we give the explicit formulae of vertex operators of $U_q({\hat{B}}_l)$ for level-one as operators on the Fock space. Meanwhile, we point out that the free field realization (by one fermionic field and $l$ bosonic fields) of highest weight module with highest weight ${\Lambda }_l$ has two irreducible modules.

16 pages, Latex,some mistakes corrected