Automorphisms of the hartogs type domains over classical symmetric domains

Heungju Ahn; Jisoo Byun; Jong Do Park

doi:10.1142/S0129167X1250098X

Automorphisms of the hartogs type domains over classical symmetric domains

Heungju Ahn
, Jisoo Byun
, Jong Do Park

School of Undergraduate Studies

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

22 Scopus citations

Abstract

In this paper we completely describe the automorphism group of the Hartogs type domains over bounded classical symmetric domains by using the ball characterization theorem about noncompact automorphism groups. As an application, we give plenty of examples of non-homogeneous domains in ⁿ, for which the real dimension of the automorphism group is less than n ²-1.

Original language	English
Article number	1250098
Journal	International Journal of Mathematics
Volume	23
Issue number	9
DOIs	https://doi.org/10.1142/S0129167X1250098X
State	Published - Sep 2012

Bibliographical note

Funding Information:
The authors would like to express their gratitude to Guy Roos and Kang-Hyurk Lee for helpful discussions about the materials in this paper. This work was supported by the National Research Foundation of Korea Grant funded by the Korean Government(MEST)(NRF-2010-0024633), (NRF-2010-0003702) and (NRF-2010-0011841) for H. Ahn, J. Byun and J.-D. Park, respectively.

Keywords

Hartogs domain
Holomorphic automorphism group
symmetric domain

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10.1142/S0129167X1250098X

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abstract = "In this paper we completely describe the automorphism group of the Hartogs type domains over bounded classical symmetric domains by using the ball characterization theorem about noncompact automorphism groups. As an application, we give plenty of examples of non-homogeneous domains in n, for which the real dimension of the automorphism group is less than n 2-1.",

keywords = "Hartogs domain, Holomorphic automorphism group, symmetric domain",

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note = "Funding Information: The authors would like to express their gratitude to Guy Roos and Kang-Hyurk Lee for helpful discussions about the materials in this paper. This work was supported by the National Research Foundation of Korea Grant funded by the Korean Government(MEST)(NRF-2010-0024633), (NRF-2010-0003702) and (NRF-2010-0011841) for H. Ahn, J. Byun and J.-D. Park, respectively.",

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AU - Park, Jong Do

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N2 - In this paper we completely describe the automorphism group of the Hartogs type domains over bounded classical symmetric domains by using the ball characterization theorem about noncompact automorphism groups. As an application, we give plenty of examples of non-homogeneous domains in n, for which the real dimension of the automorphism group is less than n 2-1.

AB - In this paper we completely describe the automorphism group of the Hartogs type domains over bounded classical symmetric domains by using the ball characterization theorem about noncompact automorphism groups. As an application, we give plenty of examples of non-homogeneous domains in n, for which the real dimension of the automorphism group is less than n 2-1.

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KW - Holomorphic automorphism group

KW - symmetric domain

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Automorphisms of the hartogs type domains over classical symmetric domains

Abstract

Bibliographical note

Keywords

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