Natalia POPOVA, Mariya VLASENKO
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: popova_n@yahoo.com, mariyka@imath.kiev.ua

Representations of the algebras of Temperley-Lieb type

Abstract:
We study *-representations of *-algebras generated by projections with relations of Temperley-Lieb type. These *-algebras can be given by the the graphs. For oriented trees and cycles we give dimensions and descriptions of *-representations.