| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660271 | Topology and its Applications | 2009 | 4 Pages |
Abstract
The set of homotopy classes of self maps of a compact, connected Lie group G is a group by the pointwise multiplication which we denote by H(G), and it is known to be nilpotent. Ōshima [H. Ōshima, Self homotopy group of the exceptional Lie group G2, J. Math. Kyoto Univ. 40 (1) (2000) 177–184] conjectured: if G is simple, then H(G) is nilpotent of class ⩾rankG. We show this is true for PU(p) which is the first high rank example.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
