# A quadrilateral in the Asaeda-Haagerup category - Mathematics > Operator Algebras

Abstract: We construct a noncommuting quadrilateral of factors whose upper sides areeach the Asaeda-Haagerup subfactor with index $\frac{5+\sqrt{17}}{2}$ byshowing the existence of a Q-system in the Asaeda-Haagerup category with index$\frac{7+\sqrt{17}}{2}$.

Author: Marta Asaeda, Pinhas Grossman

Source: https://arxiv.org/