Real homogeneous spaces, Galois cohomology, and Reeder puzzles

被引：5

作者：

Borovoi, Mikhail ^{[1
]}

Evenor, Zachi ^{[1
]}

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-6997801 Tel Aviv, Israel

来源：

JOURNAL OF ALGEBRA | 2016年 / 467卷

基金：

以色列科学基金会;

关键词：

Real homogeneous space; Reeder puzzle; Simply connected real group; Real Galois cohomology; Labelings of a Dynkin diagram;

D O I：

10.1016/j.jalgebra.2016.07.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simply connected absolutely simple algebraic group defined over the field of real numbers R. Let H be a simply connected semisimple R-subgroup of G. We consider the homogeneous space X = G/H. We ask: how many connected components has X(R)? We give a method of answering this question. Our method is based on our solutions of generalized Reeder puzzles. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：307 / 365

页数：59

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