Commuting Elements and Spaces of Homomorphisms
| dc.creator | Adem, Alejandro | |
| dc.creator | Cohen, Frederick R. | |
| dc.date | 2006-03-08 | |
| dc.date | 2006-05-19 | |
| dc.date.accessioned | 2026-07-07T07:06:39Z | |
| dc.date.available | 2026-07-07T07:06:39Z | |
| dc.description | This article records basic topological, as well as homological properties of the space of homomorphisms Hom(L,G) where L is a finitely generated discrete group, and G is a Lie group, possibly non-compact. If L is a free abelian group of rank equal to n, then Hom(L,G) is the space of ordered n-tuples of commuting elements in G. If G=SU(2), a complete calculation of the cohomology of these spaces is given for n=2, 3. An explicit stable splitting of these spaces is also obtained, as a special case of a more general splitting. | |
| dc.description | Revised version correcting homology calculations and a few minor points | |
| dc.identifier | https://arxiv.org/abs/math/0603197 | |
| dc.identifier | http://arxiv.org/abs/math/0603197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110107 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20F36; 55N15, 55R50 | |
| dc.title | Commuting Elements and Spaces of Homomorphisms | |
| dc.type | text |