A skew group ring of $\mathbb{Z}/2\mathbb{Z}$ over $U({\mathfrak{sl}}_2)$, Leonard triples and odd graphs

Hau-Wen Huang, Chin-Yen Lee

We employ a skew group ring of $\mathbb{Z}/2\mathbb{Z}$ over $U({\mathfrak{sl}}_2)$ to construct modules over the universal Bannai--Ito algebra. In addition, we give the conditions und…