TY - JOUR
AU - S. A. Kruhlyak
AU - I. V. Livins'kyi
PY - 2010/08/25
Y2 - 2024/06/25
TI - Regular orthoscalar representations of the extended Dynkin graph $\widetilde{E}_8$ and ∗-algebra associatedwith it
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 62
IS - 8
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2936
AB - We obtain a classification of regular orthoscalar representations of the extended Dynkin graph $\widetilde{E}_8$ with special character. Using this classification, we describe triples of self-adjoint operators A, B, and C such that their spectra are contained in the sets $\{0,1,2,3,4,5\}, \{0,2,4\}$, and $\{0,3\}$, respectively, and the equality $A + B + C = 6I$ is true.
ER -