Higher homotopy commutativity in localized Lie groups and gauge groups

Sho Hasui, Daisuke Kishimoto, Mitsunobu Tsutaya

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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.

Original languageEnglish
Pages (from-to)107-128
Number of pages22
JournalHomology, Homotopy and Applications
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

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All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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