2017
Том 69
№ 6

All Issues

Structure of the Systems of Orthogonal Projections Connected with Countable Coxeter Trees

Kirichenko A. A., Samoilenko Yu. S., Tymoshkevych L. M.


Abstract

The paper is devoted to the investigation of representations of Temperley–Lieb-type algebras generated by orthogonal projections connected with countable Coxeter trees. The theorem on the structure of these systems of orthogonal projections is proved. Some examples are presented.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 9, pp 1324-1332.

Citation Example: Kirichenko A. A., Samoilenko Yu. S., Tymoshkevych L. M. Structure of the Systems of Orthogonal Projections Connected with Countable Coxeter Trees // Ukr. Mat. Zh. - 2014. - 66, № 9. - pp. 1185–1192.