It is shown that any Schur representation of a poset associated with a graph \( {\tilde E_6} \) can be unitarized with a certain character. The description of characters for which it is possible to unitarize the Schur representations of \( {\tilde E_6} \) is presented.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 10, pp. 1424–1433, October, 2009.
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Yakimenko, D.Y. Unitarization of representations of a partially ordered set associated with a graph \( {\tilde E_6} \) . Ukr Math J 61, 1672–1683 (2009). https://doi.org/10.1007/s11253-010-0305-y
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DOI: https://doi.org/10.1007/s11253-010-0305-y