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Self-Maps of Low Rank Lie Groups at Odd Primes
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $G$ be a simple, compact, simply-connected Lie group localized at an odd prime
$p$. We study the group of homotopy classes of self-maps
$\left[ G,\,G \right]$ when the rank of
$G$ is low and in certain cases describe the set of homotopy classes of multiplicative self-maps
$H\left[ G,\,G \right]$. The low rank condition gives
$G$ certain structural properties which make calculations accessible. Several examples and applications are given.
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- Research Article
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- Copyright © Canadian Mathematical Society 2010
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