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Generalizing our earlier work, we construct quasi-particle bases of principalsubspaces of standard module $L_{X_l^{(1)}}(k\Lambda_0)$ and generalized Vermamodule $N_{X_l^{(1)}}(k\Lambda_0)$ at level $k\geq 1$ in the case of affine Liealgebras of types $B_l^{(1)}$ and $C_l^{(1)}$. As a consequence, fromquasi-particle bases, we obtain the graded dimensions of these subspaces.

Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_{l}^{(1)}$ and $C_{l}^{(1)}$