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

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

Publishing date

2006-01-22

URL

arxiv.org/abs/math/0601533v1

Science

Mathematics

Field

Representation Theory

Type

Scientific paper

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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