On characters of irreducible highest weight modules of negative integer level over affine lie algebras
Name
1706.08387.pdf
Description
Accepted version
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198.01 KB
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bc5e58416a87afce848d75c940609deb
Author(s)
Kac, Victor
Wakimoto, Minoru
Date Issued
December 2018
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-030-02191-7_9
