On the classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions

摘要

We classify tube domains in Cn+1 (n >= 1) with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi form and affine isotropy of dimension at least (n-2) (n-3)/2. (C) 2020 Elsevier Inc. All rights reserved.