Higher homotopy commutativity in localized Lie groups and gauge groups

Sho Hasui, Daisuke Kishimoto, Mitsunobu Tsutaya

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

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 noncommutativity problem of the exceptional Lie group G2, which has been open for a long time.

元の言語英語
ページ(範囲)107-128
ページ数22
ジャーナルHomology, Homotopy and Applications
21
発行部数1
DOI
出版物ステータス出版済み - 1 1 2019

Fingerprint

Gauge Group
Commutativity
Homotopy
Exceptional Lie Groups
Noncommutativity
Resolve
Necessary

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

これを引用

Higher homotopy commutativity in localized Lie groups and gauge groups. / Hasui, Sho; Kishimoto, Daisuke; Tsutaya, Mitsunobu.

:: Homology, Homotopy and Applications, 巻 21, 番号 1, 01.01.2019, p. 107-128.

研究成果: ジャーナルへの寄稿記事

@article{51fc14ab123a461e959ef04fcd357407,
title = "Higher homotopy commutativity in localized Lie groups and gauge groups",
abstract = "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 noncommutativity problem of the exceptional Lie group G2, which has been open for a long time.",
author = "Sho Hasui and Daisuke Kishimoto and Mitsunobu Tsutaya",
year = "2019",
month = "1",
day = "1",
doi = "10.4310/HHA.2019.v21.n1.a6",
language = "English",
volume = "21",
pages = "107--128",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press of Boston, Inc.",
number = "1",

}

TY - JOUR

T1 - Higher homotopy commutativity in localized Lie groups and gauge groups

AU - Hasui, Sho

AU - Kishimoto, Daisuke

AU - Tsutaya, Mitsunobu

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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 noncommutativity problem of the exceptional Lie group G2, which has been open for a long time.

AB - 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 noncommutativity problem of the exceptional Lie group G2, which has been open for a long time.

UR - http://www.scopus.com/inward/record.url?scp=85057756600&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057756600&partnerID=8YFLogxK

U2 - 10.4310/HHA.2019.v21.n1.a6

DO - 10.4310/HHA.2019.v21.n1.a6

M3 - Article

AN - SCOPUS:85057756600

VL - 21

SP - 107

EP - 128

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 1

ER -