Homotopy commutativity in p-localized gauge groups
Published online by Cambridge University Press: 17 July 2013
Abstract
Let G be a simple, compact Lie group and let be the gauge group of the principal G-bundle over S4 with second Chern class k. McGibbon classified the groups G that are homotopy commutative when localized at a prime p. We show that in many cases the homotopy commutativity of G, or its failure, determines that of .
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 4 , August 2013 , pp. 851 - 870
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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