Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideals in the Temperley Lieb Category   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 $2\cos(\pi/n)$ for some $n \ge 3$, then the
Temperley-Lieb category has exactly one non-zero, proper ideal, namely the
ideal of negligible morphisms.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph