Geodesic
Self-Maps of Low Rank Lie Groups at Odd Primes
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 284-304

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DOI

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.
DOI : 10.4153/CJM-2010-017-0
Mots-clés : 55P45, 55Q05, 57T20, Lie group, self-map, H-map 
Grbić, Jelena; Theriault, Stephen. Self-Maps of Low Rank Lie Groups at Odd Primes. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 284-304. doi: 10.4153/CJM-2010-017-0
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     title = {Self-Maps of {Low} {Rank} {Lie} {Groups} at {Odd} {Primes}},
     journal = {Canadian journal of mathematics},
     pages = {284--304},
     year = {2010},
     volume = {62},
     number = {2},
     doi = {10.4153/CJM-2010-017-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-017-0/}
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