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

Alexandr Medvedev; Gerd Schmalz; Vladimir Ezhov

doi:10.1016/j.aim.2020.107028

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

Alexandr Medvedev, Gerd Schmalz, Vladimir Ezhov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	107028
Pages (from-to)	1-29
Journal	Advances in Mathematics
Volume	364
Early online date	12 Feb 2020
DOIs	https://doi.org/10.1016/j.aim.2020.107028
Publication status	Published - 15 Apr 2020

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https://hdl.handle.net/1959.11/29859

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title = "On the classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions",

abstract = "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.",

author = "Alexandr Medvedev and Gerd Schmalz and Vladimir Ezhov",

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AU - Schmalz, Gerd

AU - Ezhov, Vladimir

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AB - 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.

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JO - Advances in Mathematics

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

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