Presentations of the first homotopy groups of the unitary groups
| dc.creator | Puettmann, Thomas | |
| dc.creator | Rigas, A. | |
| dc.date | 2003-01-17 | |
| dc.date.accessioned | 2026-07-07T04:54:31Z | |
| dc.date.available | 2026-07-07T04:54:31Z | |
| dc.description | We describe explicit presentations of all stable and the first nonstable homotopy groups of the unitary groups. In particular, for each n >= 2 we supply n homotopic maps that each represent the (n-1)!-th power of a suitable generator of pi_2n(U(n)) = Z_{n!}. The product of these n commuting maps is the constant map to the identity matrix. | |
| dc.identifier | https://arxiv.org/abs/math/0301192 | |
| dc.identifier | http://arxiv.org/abs/math/0301192 | |
| dc.identifier | Comment. Math. Helv. 78 (2003), 648-662. | |
| dc.identifier | doi:10.1007/s00014-003-0770-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66282 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57T20 | |
| dc.title | Presentations of the first homotopy groups of the unitary groups | |
| dc.type | text |