English

The spectral problem and algebras associated with extended Dynkin graphs. I

Representation Theory 2007-05-23 v1

Abstract

There is a connection between *-representations of algebras associated with graphs and the problem about the spectrum of a sum of Hermitian operators (spectral problem). For algebras associated with extended Dynkin graphs we give an explicit description of the parameters for which there are *-representations and an algorithm for constructing these representations.

Keywords

Cite

@article{arxiv.math/0601533,
  title  = {The spectral problem and algebras associated with extended Dynkin graphs. I},
  author = {Stanislav Krugljak and Stanislav Popovych and Yurii Samoilenko},
  journal= {arXiv preprint arXiv:math/0601533},
  year   = {2007}
}
R2 v1 2026-07-22T17:30:24.185Z