A basis of the basic $germ sgerm l(3,Bbb C)sp sim$-module.
J. Lepowsky and R. L. Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via the vertex operator constructions of representations of affine Lie algebras. In this approach the first new combinatorial identities were discovered by S. Capparelli through the construction of the level 3 standard $A_2^{(2)}$-modules. We obtained several infinite series of new combinatorial i