Work

Ideals in the Temperley Lieb Category

Year: 2002
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W1521585069
Cites: 4
Cited by: 12
Related to: 10