On characters of irreducible highest weight modules of negative integer level over affine lie algebras
Author(s)Kac, Victor; Wakimoto, Minoru
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We prove a character formula for irreducible highest weight modules over a simple affine vertex algebra of level k, attached to a simple Lie algebra g, which are locally g-finite, in the cases when g is of type An and Cn (n≥2) and k = −1. We also conjecture a character formula for types D4, E6, E7, E8 and levels k = −1,.., −b, where b = 2, 3, 4, 6 respectively.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Lie Groups, Geometry, and Representation Theory
Springer International Publishing
Kac, Victor G., and Wakimoto, Minoru. "On Characters of Irreducible Highest Weight Modules of Negative Integer Level over Affine Lie Algebras." In: Kac V., Popov V. (eds) Lie Groups, Geometry, and Representation Theory. Progress in Mathematics, vol 326.
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