Twisted gamma filtration of a linear algebraic group

被引：10

作者：

Zainoulline, Kirill ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

COMPOSITIO MATHEMATICA | 2012年 / 148卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

torsor; linear algebraic group; gamma filtration; twisted flag variety;

D O I：

10.1112/S0010437X11007494

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we introduce and study the twisted gamma-filtration on K-0(G(s)), where G(s) is a split simple linear algebraic group over a field k of characteristic prime to the order of the center of G(s). We apply this filtration to construct nontrivial torsion elements in gamma-rings of twisted flag varieties.

引用

页码：1645 / 1654

页数：10

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