On the *-representation of one class of algebras associated with Coxeter graphs
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 edge of type s > 3 define algebras of finite Hilbert type for all values of parameters.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 4, pp 623-638.
Citation Example: Popova N. D., Samoilenko Yu. S., Strilets O. V. On the *-representation of one class of algebras associated with Coxeter graphs // Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 545–556.