NOTE ON RESTRICTION MAPS OF CHOW RINGS TO WEYL GROUP INVARIANTS

被引：1

作者：

Yagita, Nobuaki ^{[1
]}

机构：

[1] Ibaraki Univ, Fac Educ, Mito, Ibaraki, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2017年 / 40卷 / 03期

关键词：

Chow ring; algebraic cobordism; BSpin(n); INTEGRAL TATE-CONJECTURE; CLASSIFYING SPACE; REPRESENTATION-THEORY; BROWN-PETERSON; FINITE-FIELDS; LIE-GROUPS; CYCLE MAP; COHOMOLOGY; COBORDISM;

D O I：

10.2996/kmj/1509415231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an algebraic group over C corresponding a compact simply connected Lie group. When H*(G) has p-torsion, we see rho*(CH) : CH* (BG) -> CH* (BT)(WG(T))(T) is always not surjective. We also study the algebraic cobordism version per. In particular when G = Spin(7) and p = 2, we see each Griffiths element in CH * (BG) is detected by an element in Omega* (BT).

引用

页码：537 / 552

页数：16

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