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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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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 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.
Date issued
2018-12
URI
https://hdl.handle.net/1721.1/125958
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Lie Groups, Geometry, and Representation Theory
Publisher
Springer International Publishing
Citation
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.
Version: Author's final manuscript
ISBN
978-3-030-02190-0
978-3-030-02191-7

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