Unramified degree three invariants for reductive groups of type A

被引：2
|
作者：
Merkurjev, Alexander S. [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
JOURNAL OF ALGEBRA | 2018年 / 502卷
关键词：
Invariants; Algebraic groups; Simple algebras; Galois cohomology; COHOMOLOGICAL INVARIANTS; BRAUER GROUP;
D O I：
10.1016/j.jalgebra.2018.01.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a reductive group over an algebraically closed field F of characteristic zero such that the Dynkin diagram of G is the disjoint union of diagrams of type A. We prove that the third unramified cohomology group of the classifying space of G with coefficients in Q/Z is trivial. (C) 2018 Elsevier Inc. All rights reserved.
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页码：49 / 60
页数：12
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