GALOIS COHOMOLOGY AND COMPONENT GROUP OF A REAL REDUCTIVE GROUP

被引：2

作者：

Borovoi, Mikhail ^{[1
]}

Timashev, Dmitry A. ^{[2
]}

机构：

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

[2] Lomonosov Moscow State Univ, Fac Mech & Math, Dept Higher Algebra, Moscow 119991, Russia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2024年 / 259卷 / 02期

关键词：

D O I：

10.1007/s11856-023-2526-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected reductive group over the field of real numbers R. Using results of our previous joint paper, we compute combinatorially the first Galois cohomology set H-1 (R, G) in terms of reductive Kac labelings. Moreover, we compute the group of connected components pi(0)G(R) of the real Lie group G(Double-struck capital R) and the maps in exact sequences containing pi(0)G(R) and H-1(R, G).

引用

页码：937 / 1000

页数：64

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