Self-maps of low rank Lie groups at odd primes

Jelena Grbic, Stephen D Theriault

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 [G, G] when the rank of G is low and in certain cases describe the set of homotopy classes of multiplicative self-maps H[G, G]. The low rank condition gives G certain structural properties which make calculations accessible. Several examples and applications are given.
Original languageEnglish
Pages (from-to)284-304
Number of pages21
JournalCanadian journal of mathematics. Journal canadien de mathématiques
Volume62
Issue number2
Early online date4 Dec 2009
Publication statusPublished - Apr 2010

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