The complex geomety of a domain related to $\mu$-synthesis

J. Agler, Z. A. Lykova, N. J. Young

We describe the basic complex geometry and function theory of the {\em pentablock} $\mathcal{P}$, which is the bounded domain in ${\mathbb{C}}^3$ given by \[ \mathcal{P}= \{(a_{21},…