Adjoint spaces and flag varieties of p-compact groups
| dc.creator | Bauer, Tilman | |
| dc.creator | Castellana, Natalia | |
| dc.date | 2006-02-20 | |
| dc.date.accessioned | 2026-07-07T07:03:35Z | |
| dc.date.available | 2026-07-07T07:03:35Z | |
| dc.description | For a compact Lie group $G$ with maximal torus $T$, Pittie and Smith showed that the flag variety $G/T$ is always a stably framed boundary. We generalize this to the category of $p$-compact groups, where the geometric argument is replaced by a homotopy theoretic argument showing that the class in the stable homotopy groups of spheres represented by $G/T$ is trivial, even $G$-equivariantly. As an application, we consider an unstable construction of a $G$-space mimicking the adjoint representation sphere of $G$ inspired by work of the second author and Kitchloo. This construction stably and $G$-equivariantly splits off its top cell, which is then shown to be a dualizing spectrum for $G$. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602418 | |
| dc.identifier | http://arxiv.org/abs/math/0602418 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109030 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35; 55P60; 55P91 | |
| dc.title | Adjoint spaces and flag varieties of p-compact groups | |
| dc.type | text |