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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 9, pp. 1185–1192, September, 2014.
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Kyrychenko, A.A., Samoilenko, Y.S. & Tymoshkevych, L.M. Structure of the Systems of Orthogonal Projections Connected with Countable Coxeter Trees. Ukr Math J 66, 1324–1332 (2015). https://doi.org/10.1007/s11253-015-1012-5
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DOI: https://doi.org/10.1007/s11253-015-1012-5