The classification of real forms of simple irreducible pseudo-Hermitian symmetric spaces
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- Boumuki Nobutaka
- Osaka City University, Advanced Mathematical Institute
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The main purpose of this paper is to classify the real forms M of simple irreducible pseudo-Hermitian symmetric spaces G⁄R with G non-compact. That provides an extension of Jaffee's results (Bull. Amer. Math. Soc. '75; J. Differential Geom. '78), Leung's result (J. Differential Geom. '79) and Takeuchi's result (Tohoku Math. J. '84) concerning the classification of real forms of irreducible Hermitian symmetric spaces of the non-compact type. Moreover, that enables us to classify the pairs of simple para-Hermitian symmetric Lie algebras and their para-holomorphic involutions, which includes Kaneyuki-Kozai's result (Tokyo J. Math. '85) of the classification of simple para-Hermitian symmetric Lie algebras.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 66 (1), 37-88, 2014
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116332288
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- NII論文ID
- 130003394360
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 025162023
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可