Regular representations of affine Kac-Moody algebras
B. Feigin, S. Parkhomenko
Abstract
In this paper we investigate one Wakimoto-type construction of affine Kac-Moody algebras. We obtain a version of the regular representation, on which the affine algebra acts from the left and from the right with the sum of levels equal to minus two dual Coxeter numbers.
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