Higher homotopy associativity in the Harris decomposition of Lie groups

Daisuke Kishimoto, Toshiyuki Miyauchi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

For certain pairs of Lie groups (G, H) and primes p, Harris showed a relation of the p-localized homotopy groups of G and H. This is reinterpreted as a p-local homotopy equivalence G ≃ (p)H × G/H, and so there is a projection G(p) → H(p). We show how much this projection preserves the higher homotopy associativity.

Original languageEnglish
Pages (from-to)2982-3000
Number of pages19
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume150
Issue number6
DOIs
Publication statusPublished - Dec 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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