李群具有负截面曲率的李代数

Revista Integración Pub Date : 2022-03-01 DOI:10.18273/revint.v40n1-2022005

G. Salgado

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摘要

本文的目的是完整地描述李群具有负截面曲率的两个李代数族。第一族由满足下列性质的李代数组成:给定李代数中的任意两个向量，它们张成的线性子空间是李子代数。另一方面，第二族由Iwasawa型约简李代数组成。

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Lie algebras whose Lie groups have negative sectional curvature

The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the linear subspace spanned by them is a Lie subalgebra. On the other hand, the second family consists of reduced Lie algebras of Iwasawa type.

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Revista Integración

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