Homological vanishing for the Steinberg representation

被引：7

作者：

Ash, Avner ^{[1
]}

Putman, Andrew ^{[2
]}

Sam, Steven V. ^{[3
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

[2] Univ Notre Dame, Dept Math, 279 Hurley Hall, Notre Dame, IN 46556 USA

[3] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

来源：

COMPOSITIO MATHEMATICA | 2018年 / 154卷 / 06期

基金：

美国国家科学基金会;

关键词：

Steinberg representation; homological stability; ARITHMETIC GROUPS; LINEAR-GROUPS; COHOMOLOGY; STABILITY; SL(N)Z;

D O I：

10.1112/S0010437X18007029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a field k, we prove that the ith homology of the groups GL(n)(k), SLn(k), SP2n(k), SOn,n(k), and SOn,n+1(k) with coefficients in their Steinberg representations vanish for n >= 2i + 2.

引用

页码：1111 / 1130

页数：20

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