Singular locally scalar representations of quivers in Hilbert spaces and separating functions
We consider locally scalar representations of extended Dynkin graphs in Hilbert spaces. The relation between these representations and the function ρ( n ) = 1 + ( n − 1 ) / ( n + 1 ) is established. We construct a family of separating functions that generalize the function ρ and play a similar role in a broader class of graphs.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 6, pp 947-963.
Citation Example: Redchuk I. K., Roiter A. V. Singular locally scalar representations of quivers in Hilbert spaces and separating functions // Ukr. Mat. Zh. - 2004. - 56, № 6. - pp. 796–809.