Homology of linear groups with coefficients in the adjoint action and K-Theory

被引：6

作者：

Elbaz-Vincent, P ^{[1
]}

机构：

[1] Univ Montpellier 2, Lab Geometrie Topol & Algebre, UPRESA CNRS 5030, F-34095 Montpellier, France

来源：

K-THEORY | 1999年 / 16卷 / 01期

关键词：

homology of groups; linear groups; adjoint action; algebraic K-theory; H1; rings; weight decomposition; Goodwillie's isomorphism; Hochschild homology;

D O I：

10.1023/A:1007760618741

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this paper is to compute some homology groups of linear groups with coefficients in the adjoint action which have appeared in different works. Our method uses various weight decompositions in group homology, algebraic K-theory, and Hochschild homology. This paper originated in a question posed by Cathelineau which is related to Hilbert's third problem on the scissors congruence of polyhedra.

引用

页码：35 / 50

页数：16

共 31 条

[11] ON THE GENERAL LINEAR GROUP AND HOCHSCHILD HOMOLOGY [J].