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Refined q-Trinomial Coefficients and Character Identities

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Abstract

A refinement of the q-trinomial coefficients is introduced, which has a very powerful iterative property. This “\(\mathcal{T}\)-invariance” is applied to derive new Virasoro character identities related to the exceptional simply-laced Lie algebras E\(_6\), E\(_7\) and E\(_8\).

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  1. Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE, Amsterdam, The Netherlands

    S. Ole Warnaar

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  1. S. Ole Warnaar
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Warnaar, S.O. Refined q-Trinomial Coefficients and Character Identities. Journal of Statistical Physics 102, 1065–1081 (2001). https://doi.org/10.1023/A:1004827709169

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