HIGHER HOMOTOPY COMMUTATIVITY IN LOCALIZED LIE GROUPS AND GAUGE GROUPS

被引：2

作者：

Hasui, Sho ^{[1
]}

Kishimoto, Daisuke ^{[2
]}

Tsutaya, Mitsunobu ^{[3
]}

机构：

[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[3] Kyushu Univ, Fac Math, Fukuoka, Fukuoka 8190395, Japan

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2019年 / 21卷 / 01期

关键词：

homotopy commutativity; Lie group; gauge group; A(n)-space; SAMELSON PRODUCTS; SPACES;

D O I：

10.4310/HHA.2019.v21.n1.a6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first aim of this paper is to study the p-local higher homotopy commutativity of Lie groups in the sense of Sugawara. The second aim is to apply this result to the p-local higher homotopy commutativity of gauge groups. Although the higher homotopy commutativity of Lie groups in the sense of Williams is already known, the higher homotopy commutativity in the sense of Sugawara is necessary for this application. The third aim is to resolve the 5-local higher homotopy non-commutativity problem of the exceptional Lie group G(2), which has been open for a long time.

引用

页码：107 / 128

页数：22

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