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))

摘要

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-1((1)), C-1((1)), F-4((1)) or G(2)((1)) of level one. From the given bases we find characters of principal subspaces.