location:  Publications → journals → CJM
Abstract view

# Self-Maps of Low Rank Lie Groups at Odd Primes

Published:2009-12-04
Printed: Apr 2010
• Jelena Grbić
• Stephen Theriault
 Format: HTML LaTeX MathJax

## 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.
 Keywords: Lie group, self-map, H-map
 MSC Classifications: 55P45 - $H$-spaces and duals 55Q05 - Homotopy groups, general; sets of homotopy classes 57T20 - Homotopy groups of topological groups and homogeneous spaces

 top of page | contact us | privacy | site map |