9 citations · 13 across the 9 of their papers we have counts for
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math.RT2004
The spectral problem and *-representations of algebras associated with Dynkin graphs
Stanislav Krugljak, Stanislav Popovych, Yurii Samoilenko
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 Hermit…
math.OA2004
Gröbner bases for *-algebars and faithful operator representations
Stanislav Popovych, Kyrylo Vynogradov
Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its Göbner basis is presented. Proposed construction of faithful representation is appli…