Witt Groups of Algebraic Groups

被引：1

作者：

Yagita, Nobuaki ^{[1
]}

机构：

[1] Ibaraki Univ, Dept Math, Fac Educ, Mito, Ibaraki 310, Japan

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2014年 / 50卷 / 01期

关键词：

algebraic group; Witt group; K-theory; KO-THEORY; MOTIVIC COHOMOLOGY; COMPLEX; OPERATIONS; SEQUENCE;

D O I：

10.4171/PRIMS/126

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G(k) be a split reductive group over a subfield k of C corresponding to a Lie group G. Let T be a maximal torus of G. We show the isomorphism W*(G(k)) W*(G(k)/T-k) of Balmer Witt groups. When k is algebraically closed, we prove that W* (G(k)) is isomorphic to the topological K-theory KO2*-1(G/T) of the flag manifold CIT. Then we compute it explicitly by using the fact that W* (G(k)) is a Hopf algebra.

引用

页码：113 / 151

页数：39

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