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

• Date: 2008
• Main Authors: Popova, N. D., Samoilenko, Yu. S., Strilets, O. V., Попова, Н. Д., Самойленко, Ю. С., Стрілець, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3174
• Journal Title: 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...