Level one standard modules for affine symplectic Lie algebras (Q1121968)

Recently, it has been established that explicit realizations of standard (i.e. irreducible integrable highest weight) representations of affine Lie algebras is an important direction of research. In this paper, using vertex operator techniques we have given explicit constructions of all level one standard modules for the affine symplectic Lie algebras of arbitrary rank. More specifically, the level one standard modules for the affine symplectic Lie algebras of odd ranks have been explicitly constructed in this paper for the first time.