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arXiv 2002-06-27 0 views

Ideals in the Temperley Lieb Category

Goodman, Frederick M. · Wenzl, Hans

Original · EN

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(π/n) for some n ≥ 3, then the Temperley-Lieb category has exactly one non-zero, proper ideal, namely the ideal of negligible morphisms.

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