arXiv subjects

Stanislav Krugljak

Publications and source records attributed to Stanislav Krugljak.

2 recordsLinked to original sources

arXiv2006

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

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.

math.RT↗

arXiv2004

The spectral problem and *-representations of algebras associated with Dynkin graphs

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.

math.RT↗