Decompositions and complexifications of some infinite-dimensional homogeneous spaces

被引：2

作者：

Miglioli, Martin ^{[1
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat, RA-1083 Buenos Aires, DF, Argentina

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 266卷 / 11期

关键词：

Banach-Lie group; Coadjoint orbit; Complexification; Corach-Porta-Recht decomposition; Finsler structure; Flag manifold; Homogeneous space; Operator decomposition; Reductive structure; Stiefel manifold; CURVATURE; MANIFOLDS; THEOREM;

D O I：

10.1016/j.jfa.2014.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper an extended Corach-Porta-Recht decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition theorem is applied to give a geometric description of the complexification of some infinite dimensional homogeneous spaces.(C) 2014 Elsevier Inc. All rights reserved.

引用

页码：6599 / 6618

页数：20

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