On the *-representation of one class of algebras associated with Coxeter graphs

• Datum: 2008
• Hauptverfasser: Popova, N. D., Samoilenko, Yu. S., Strilets, O. V., Попова, Н. Д., Самойленко, Ю. С., Стрілець, О. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3174
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate *-representations of a class of algebras that are quotient algebras of the Hecke algebras associated with Coxeter graphs. A description of all unitarily nonequivalent irreducible *-representations of finite-dimensional algebras is given. We prove that only trees that have at most one...