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--- temperley_lieb_category [2019/03/15 15:41]
d.gromada created
+++ temperley_lieb_category [2021/11/23 11:56] (current)
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 ====== Temperley–Lieb category ======
-**Temperley–Lieb category** also known as the **category of all non-crossing pairings** is a subcategory of the Brauer category, where we consider only non-crossing pairings. It models the representation theory of the free orthogonal group $O_N^+$.
+**Temperley–Lieb category** also known as the **category of all non-crossing pairings** is a subcategory of the [[brauer_category|Brauer category]], where we consider only non-crossing pairings. It is the smallest possible [[linear_category_of_partitions|Linear category of partitions]]. It models the representation theory of the free orthogonal group $O_N^+$, more generally also the universal orthogonal groups $O_F^+$ and also the quantum special linear groups $SL_q(2)$.