We obtain a classification of indecomposable orthoscalar representations of the extended Dynkin graphs \( {\tilde{E}_6} \) and \( {\tilde{E}_7} \) with a special character and of the *-algebras associated with them, up to the unitary equivalence.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1459–1472, November, 2010.
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Livins’kyi, I.V. Regular orthoscalar representations of extended dynkin graphs \( {\tilde{E}_6} \) and \( {\tilde{E}_7} \) and *-algebras associatedwith them. Ukr Math J 62, 1690–1706 (2011). https://doi.org/10.1007/s11253-011-0461-8
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DOI: https://doi.org/10.1007/s11253-011-0461-8