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

Stanislav Krugljak·Stanislav Popovych·Yurii Samoilenko
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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.

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Stanislav Krugljak, Stanislav Popovych, Yurii Samoilenko. 2006-01-22. The spectral problem and algebras associated with extended Dynkin graphs. I. https://arxiv.org/abs/math/0601533

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