Nataly Popova

Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivska Street, 01601 Kyiv-4, UKRAINE
e-mail: popova_n@yahoo.com

On one algebra of the Temperley-Lieb-type

Abstract:
New algebra with relations of the Temperley-Lieb-Type is proposed. Representations of this algebra in the finite-dimensional spaces are studied. Basis of the algebra is found. New relations between operators of the representations are deduces.