Deformations of cones of primitive vectors
| dc.creator | Jansou, Sebastien | |
| dc.date | 2005-06-08 | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T06:40:12Z | |
| dc.date.available | 2026-07-07T06:40:12Z | |
| dc.description | For a complex connected reductive group G, we classify the simple modules whose cone of primitive vectors admits a nontrivial G-invariant deformation. We relate this classification to that of simple Jordan algebras, and to that (due to Akhiezer) of smooth projective varieties whose orbits under the action of a connected affine algebraic group are a divisor and its complementary. Our main tool is the invariant Hilbert scheme of Alexeev-Brion; we determine the first examples of it. We also determine the infinitesimal deformations (non necessarily G-invariant) of the cones of primitive vectors; they turn out to be trivial for most simple modules. | |
| dc.description | French, 40 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506133 | |
| dc.identifier | http://arxiv.org/abs/math/0506133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101337 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14B07 14L30 14M17 17C20 20G05 | |
| dc.title | Deformations of cones of primitive vectors | |
| dc.type | text |