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

  • N. D. Popova
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ
  • O. V. Strilets


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.
How to Cite
Popova, N. D., Y. S. Samoilenko, and O. V. Strilets. “On the *-Representation of One Class of Algebras Associated With Coxeter Graphs”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 4, Apr. 2008, pp. 545–556, https://umj.imath.kiev.ua/index.php/umj/article/view/3174.
Research articles