论文标题

非紧凑的半神经对称对与交换紧凑的半精密对称三合会及其一般理论之间的双重性

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

论文作者

Baba, Kurando, Ikawa, Osamu, Sasaki, Atsumu

论文摘要

本文研究了紧凑型类型的riemannian对称对与非紧凑型类型àlaé的对称对之间的自然概括。卡坦。本文的主要结果是构建对非紧密伪造伪二氧化碳的半神经对称对与交换性紧凑型半神经对称对称三合会之间一对一的对应关系的明确描述,这称为二元定理。此外,我们发展了二元定理的一般理论。

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.

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