A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory

Baba K, Ikawa O, Sasaki A (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Differential Geometry and its Applications Elsevier

Book Volume: 76

Article Number: 101751

DOI: 10.1016/j.difgeo.2021.101751

Abstract

The present paper investigates a natural generalization of the duality between Riemannian symmetric pairs of compact type and those of non-compact type à la É. Cartan. The main result of this paper is to construct an explicit description of a one-to-one correspondence between non-compact pseudo-Riemannian semisimple symmetric pairs and commutative compact semisimple symmetric triads, which is called the duality theorem. Further, we develop a general theory of the duality theorem.

Authors with CRIS profile

Atsumu Sasaki Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

Involved external institutions

Tokyo University of Science / 東京理科大学 (Tōkyō Rika Daigaku) JP Japan (JP) Kyoto Institute of Technology (KIT) / 京都工芸繊維大学 JP Japan (JP)

How to cite

APA:

Baba, K., Ikawa, O., & Sasaki, A. (2021). A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory. Differential Geometry and its Applications, 76. https://dx.doi.org/10.1016/j.difgeo.2021.101751

MLA:

Baba, Kurando, Osamu Ikawa, and Atsumu Sasaki. "A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory." Differential Geometry and its Applications 76 (2021).

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