Maximal representations of uniform complex hyperbolic lattices
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KOZIARZ, Vincent | |
| hal.structure.identifier | Institut Élie Cartan de Lorraine [IECL] | |
| dc.contributor.author | MAUBON, Julien | |
| dc.date.accessioned | 2024-04-04T02:55:42Z | |
| dc.date.available | 2024-04-04T02:55:42Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0003-486X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192390 | |
| dc.description.abstractEn | Let ρ be a maximal representation of a uniform lattice Γ ⊂ SU(n, 1), n ≥ 2, in a classical Lie group of Hermitian type G. We prove that necessarily G = SU(p, q) with p ≥ qn and there exists a holomorphic or antiholomorphic ρ-equivariant map from the complex hyperbolic n-space to the symmetric space associated to SU(p, q). This map is moreover a totally geodesic homothetic embedding. In particular, up to a representation in a compact subgroup of SU(p, q), the representation ρ extends to a representation of SU(n, 1) in SU(p, q). | |
| dc.description.sponsorship | Groupes fondamentaux, Théorie de Hodge et Motifs - ANR-16-CE40-0011 | |
| dc.language.iso | en | |
| dc.publisher | Princeton University, Department of Mathematics | |
| dc.subject.en | Tangents | |
| dc.subject.en | Mathematical lattices | |
| dc.subject.en | Lie groups | |
| dc.subject.en | Curvature | |
| dc.subject.en | Boson fields | |
| dc.subject.en | Mathematical vectors | |
| dc.subject.en | Symmetry | |
| dc.subject.en | Loci | |
| dc.subject.en | Nonreductive physicalism | |
| dc.title.en | Maximal representations of uniform complex hyperbolic lattices | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4007/annals.2017.185.2.3 | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| bordeaux.journal | Annals of Mathematics | |
| bordeaux.page | 493-540 | |
| bordeaux.volume | 185 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02500874 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02500874v1 | |
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