2017
Том 69
№ 6

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Regular orthoscalar representations of extended dynkin graphs $\widetilde{E}_6$ and $\widetilde{E}_7$ and *-algebras associatedwith them

Livins'kyi I. V.

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Abstract

We obtain a classification of indecomposable orthoscalar representations of the extended Dynkin graphs $\widetilde{E}_6$ and $\widetilde{E}_7$ with a special character and of the *-algebras associated with them, up to the unitary equivalence.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1690-1706.

Citation Example: Livins'kyi I. V. Regular orthoscalar representations of extended dynkin graphs $\widetilde{E}_6$ and $\widetilde{E}_7$ and *-algebras associatedwith them // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1459–1472.

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