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PRV for the fusion product, the case \(\uplambda \gg \mu \)

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Abstract

Given a complex simple Lie algebra \(\mathfrak g\) and a positive integer \(\ell \), under the assumption \(\uplambda \gg \mu \), we show that irreducible representations of \(\mathfrak g\) of the form \(V(\uplambda +w\mu )\), \(w\in W,\) with level at most \(\ell \) appear in the fusion product of \(V(\uplambda )\) and \(V(\mu )\). This verifies the existence of PRV components for the fusion product in this special case.

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  1. Department of Mathematics, Boğaziçi University, 34342, Istanbul, Turkey

    Arzu Boysal

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  1. Arzu Boysal
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Boysal, A. PRV for the fusion product, the case \(\uplambda \gg \mu \). Math. Z. 299, 1897–1906 (2021). https://doi.org/10.1007/s00209-021-02754-2

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  • DOI: https://doi.org/10.1007/s00209-021-02754-2

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