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

A quadrilateral in the Asaeda-Haagerup category - Mathematics > Operator Algebras - Download this document for free, or read online. Document in PDF available to download.

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/