Abstract
We construct a free field realization of generalized loop modules induced from admissible diagonal ℤ-graded irreducible modules of nonzero level for a Heisenberg subalgebra of untwisted affine Lie algebra of type A. Such generalized loop modules are irreducible as it was shown in Bekkert et al. [2]. We also extend this construction to modules induced from an arbitrary parabolic subalgebra of whose Levi factor is infinite-dimensional and contains .
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