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Ideals in the Temperley Lieb Category

Frederick M. Goodman·Hans Wenzl
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Abstract

We prove the following result: For a generic value of the parameter, the Temperley-Lieb category has no non-zero, proper tensor ideal. When the parameter $d$ is equal to $2\cos(π/n)$ for some $n \ge 3$, then the Temperley-Lieb category has exactly one non-zero, proper ideal, namely the ideal of negligible morphisms.

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Frederick M. Goodman, Hans Wenzl. 2002-06-27. Ideals in the Temperley Lieb Category. https://arxiv.org/abs/math/0206301

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