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Higher homotopy associativity in the Harris decomposition of Lie groups
Published online by Cambridge University Press: 11 September 2019
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.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 6 , December 2020 , pp. 2982 - 3000
- Copyright
- Copyright © 2019 The Royal Society of Edinburgh
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