MOTIVIC DECOMPOSITION OF CERTAIN SPECIAL LINEAR GROUPS

被引：0

作者：

Merkurjev, Alexander S. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 01期

关键词：

Central simple algebras; Severi-Brauer varieties; special linear groups; motives; motivic cohomology; OPERATIONS;

D O I：

10.1090/tran6654

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the motive of the algebraic group G = SL1(D) for a central simple algebra D of prime degree over a perfect field. As an application we determine certain motivic cohomology groups and differentials in the motivic spectral sequence of G.

引用

页码：555 / 574

页数：20

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