pi_*-kernels of Lie groups
Algebraic Topology
2007-05-23 v3
Abstract
We study the group of homotopy classes of self maps of compact Lie groups which induce the trivial homomorphism on homotopy groups. We completely determine the groups for SU(3) and Sp(2). We investigate these groups for simple Lie groups in the cases when Lie groups are p-regular or quasi p-regular. We apply our results to the groups of self homotopy equivalences.
Keywords
Cite
@article{arxiv.math/0208194,
title = {pi_*-kernels of Lie groups},
author = {Ken-ichi Maruyama},
journal= {arXiv preprint arXiv:math/0208194},
year = {2007}
}
Comments
15 pages,typos added