Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of $U_q({\mathfrak{sl}}_2)$

Nicolas Crampé, Luc Vinet, Meri Zaimi

The centralizer of the image of the diagonal embedding of $U_q({\mathfrak{sl}}_2)$ in the tensor product of three irreducible representations is examined in a Schur-Weyl duality spir…