Maximal representations of complex hyperbolic lattices into SU(m,n)
Let Γ denote a lattice in SU(1, p), with p greater than 1. We show that there exists no Zariski dense maximal representation with target SU(m, n) if n > m > 1. The proof is geometric and is based on the study of the rigidity properties of the geometry whose points are isotropic m-subspaces of...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
14 July 2015
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| In: |
Geometric and functional analysis
Year: 2015, Jahrgang: 25, Heft: 4, Pages: 1290-1332 |
| ISSN: | 1420-8970 |
| DOI: | 10.1007/s00039-015-0338-3 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s00039-015-0338-3 Verlag, Volltext: https://link.springer.com/article/10.1007/s00039-015-0338-3 
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| Verfasserangaben: | Maria Beatrice Pozzetti |
MARC
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| 520 | |a Let Γ denote a lattice in SU(1, p), with p greater than 1. We show that there exists no Zariski dense maximal representation with target SU(m, n) if n > m > 1. The proof is geometric and is based on the study of the rigidity properties of the geometry whose points are isotropic m-subspaces of a complex vector space V endowed with a Hermitian metric h of signature (m, n) and whose lines correspond to the 2m dimensional subspaces of V on which the restriction of h has signature (m, m). | ||
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