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A note on principal subspaces of the affine Lie algebras in types $B_l^{;(1)};$, $C_l^{;(1)};$, $F_4^{;(1)};$ and $G_2^{;(1)};$

We construct quasi-particle bases of principal subspaces of standard modules $L(\Lambda)$, where $\Lambda=k_0\Lambda_0+k_j\Lambda_j$, and $\Lambda_j$ denotes the fundamental weight of affine Lie algebras of type $B_l^{;(1)};$, $C_l^{;(1)};$, $F_4^{;(1)};$ or $G_2^{;(1)};$ of level one. From the given bases we find characters of principal subspaces.

Affine Lie algebras, combinatorial bases, principal subspaces, quasi-particles, vertex operator algebras

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