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arXiv · 1804.02326

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

Vladimir Ezhov·Alexandr Medvedev·Gerd Schmalz
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Abstract

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 form and affine isotropy of dimension at least $\frac{(n-2)(n-3)}2$.

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Vladimir Ezhov, Alexandr Medvedev, Gerd Schmalz. 2018-04-06. Classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions. https://arxiv.org/abs/1804.02326

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