Abstract
We prove that Borcherds–Kac–Moody Lie superalgebras yield Weyl–Kac type character formulas for some specific types of admissible representations. Our results generalize the results of Kac and Wakimoto (Proc Natl Acad Sci USA 85:4956–4960, 1988) by extending the Weyl–Kac character formula for integrable irreducible highest weight modules over Kac–Moody algebras to the case of admissible irreducible highest weight modules over Borcherds–Kac–Moody Lie superalgebras.
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This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07042492)
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Kwon, N. Weyl–Kac type character formula for admissible representations of Borcherds–Kac–Moody Lie superalgebras. Math. Z. 295, 711–725 (2020). https://doi.org/10.1007/s00209-019-02371-0
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DOI: https://doi.org/10.1007/s00209-019-02371-0