Abstract
ABSTRACT A relation for the Jones–Wenzl projector is proven. It has the following consequence for representations of the Temperley–Lieb algebra on tensor product spaces: if such a representation is built from a Hermitian matrix T of rank r such that , then either and or . For the latter class of representations, new examples are found. This includes explicit examples for r=2,3,4 and any (with one exception) and a solution for n=r+1 with arbitrary r.
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