Cycles of Bott-Samelson type for taut representations
| dc.creator | Gorodski, Claudio | |
| dc.creator | Thorbergsson, Gudlaugur | |
| dc.date | 2001-01-25 | |
| dc.date.accessioned | 2026-07-07T04:39:48Z | |
| dc.date.available | 2026-07-07T04:39:48Z | |
| dc.description | Bott and Samuelson constructed explicit cycles representing a basis of the Z_2-homology of the orbits of variationally complete representations of compact Lie groups. As a consequence, all those orbits are taut. We were able to show that an irreducible representation of a compact Lie group, all of whose orbits are taut, is either variationally complete or it is one of the following orthogonal representations (n bigger than or equal to 2): the (standard) x_R (spin) representation of SO(2)xSpin(9); or the (standard) x_C (standard) representation of U(2)xSp(n); or the (standard)^3 x_ H (standard) representation of SU(2)xSp(n). In this paper we will show how to adapt the construction of the cycles of Bott and Samelson to the orbits of these three representations. As a result, they also admit explicit cycles representing a basis of their Z_2-homology and, in particular, this provides another proof of their tautness. | |
| dc.identifier | https://arxiv.org/abs/math/0101209 | |
| dc.identifier | http://arxiv.org/abs/math/0101209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60818 | |
| dc.subject | Differential Geometry | |
| dc.title | Cycles of Bott-Samelson type for taut representations | |
| dc.type | text |