Abelian Galois cohomology of reductive groups

被引：0

作者：

Borovoi, M ^{[1
]}

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math, IL-69978 Tel Aviv, Israel

来源：

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 132卷 / 626期

关键词：

abelian Galios cohomology; algebraic fundamental group; Galios cohomology; reductive groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a reductive group G over a field K we introduce the abelian Galois cohomology group H-ab(1) (K,G). We relate this abelian group to the usual first Galois cohomology group H-1(K, G). When K is a local field or a number field, we computer H-1(K, G) almost explicitly.

引用

页码：1 / +

页数：51

共 34 条

[21] Quasi-isolated elements in reductive groups [J].

Bonnafé, C .

COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) :2315-2337

[22] Finiteness of z-classes in reductive groups [J].

Garge, Shripad M. ;

Singh, Anupam .

JOURNAL OF ALGEBRA, 2020, 554 :41-53

[23] Chern classes of reductive groups and an adjunction formula [J].

Kiritchenko, Valentina .

ANNALES DE L INSTITUT FOURIER, 2006, 56 (04) :1225-1256

[24] A classification of reductive linear groups with spherical orbits [J].

Arzhantsev, I .

JOURNAL OF LIE THEORY, 2002, 12 (01) :289-299

[25] Cartan-Iwahori-Matsumoto decompositions for reductive groups [J].

Alper, Jarod ;

Heinloth, Jochen ;

Halpern-Leistner, Daniel .

PURE AND APPLIED MATHEMATICS QUARTERLY, 2021, 17 (02) :593-604

[26] Galois actions on fundamental groups of curves and the cycle C-C- [J].

Hain, R ;

Matsumoto, M .

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2005, 4 (03) :363-403

[27] Modular representations of Lie algebras of reductive groups and Humphreys' conjecture [J].

Premet, Alexander ;

Topley, Lewis .

ADVANCES IN MATHEMATICS, 2021, 392

[28] STABILITY OF AFFINE G-VARIETIES AND IRREDUCIBILITY IN REDUCTIVE GROUPS [J].

Florentino, Carlos ;

Casimiro, Ana Cristina .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (08)

[29] FUNCTIONAL-EQUATIONS SATISFIED BY INTERTWINING-OPERATORS OF REDUCTIVE GROUPS [J].

ZHU, CB .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (02) :881-899

[30] NON-REDUCTIVE AUTOMORPHISM GROUPS, THE LOEWY FILTRATION AND K-STABILITY [J].

Codogni, Giulio ;

Dervan, Ruadhai .

ANNALES DE L INSTITUT FOURIER, 2016, 66 (05) :1895-1921

← 1 2 3 4 →