Ideals in the Temperley Lieb Category
Frederick M. Goodman, Hans Wenzl
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(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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