The asymptotics of multiplicities of irreducible representations in large tensor products of finite dimensional representations of simple Lie algebras are computed for all, including nongeneric, highest weights.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 509, 2021, pp. 185–200.
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Postnova, O.V., Reshetikhin, N.Y. On the Asymptotics of Multiplicities for Large Tensor Product of Representations of Simple Lie Algebras. J Math Sci 275, 348–358 (2023). https://doi.org/10.1007/s10958-023-06686-6
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DOI: https://doi.org/10.1007/s10958-023-06686-6