Abstract
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 andCn (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.
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Kac, V.G., Wakimoto, M. (2018). 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. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02191-7_9
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DOI: https://doi.org/10.1007/978-3-030-02191-7_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-02190-0
Online ISBN: 978-3-030-02191-7
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