Classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions

Vladimir Ezhov, Alexandr Medvedev, Gerd Schmalz

We classify tube domains in ${\mathbb{C}}^{n+1}$ ($n\ge 1$) with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi…