2017
Том 69
№ 9

All Issues

Singular locally scalar representations of quivers in Hilbert spaces and separating functions

Redchuk I. K., Roiter A. V.

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Abstract

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.

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