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

  • I. K. Redchuk
  • A. V. Roiter

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.
Published
25.06.2004
How to Cite
RedchukI. K., and RoiterA. V. “Singular Locally Scalar Representations of Quivers in Hilbert Spaces and Separating Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 6, June 2004, pp. 796–809, https://umj.imath.kiev.ua/index.php/umj/article/view/3799.
Section
Research articles