2017
Том 69
№ 6

All Issues

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

Popova N. D., Samoilenko Yu. S., Strilets O. V.

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Abstract

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.

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