# Composed inclusions of $A_3$ and $A_4$ subfactors

### Citation:

Liu Z. Composed inclusions of $A_3$ and $A_4$ subfactors. Adv. Math. [Internet]. 2015;279 (307) :371.

### Abstract:

In this article, we classify all standard invariants that can arise from a composed inclusion of an A3 with an A4 subfactor. More precisely, if NP is the A3 subfactor and PM is the A4subfactor, then only four standard invariants can arise from the composed inclusion NM. This answers a question posed by Bisch and Haagerup in 1994. The techniques of this paper also show that there are exactly four standard invariants for the composed inclusion of two A4 subfactors.

Published Version

Last updated on 06/22/2017