The spectral problem and *-representations of algebras associated with Dynkin graphs
Representation Theory
2007-05-23 v2
Abstract
We study the connection between *-representations of algebras associated with graphs, locally-scalar graph representations and the problem about the spectrum of a sum of two Hermitian operators. For algebras associated with Dynkin graphs we give an explicit description of the parameters for which there are irreducible representations and an algorithm for contructing these representations.
Keywords
Cite
@article{arxiv.math/0407418,
title = {The spectral problem and *-representations of algebras associated with Dynkin graphs},
author = {Stanislav Krugljak and Stanislav Popovych and Yurii Samoilenko},
journal= {arXiv preprint arXiv:math/0407418},
year = {2007}
}
Comments
16 pages