Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\)

DOI10.1007/s00039-015-0338-3zbMath1325.22007arXiv1407.3903OpenAlexW1875134358MaRDI QIDQ496180

Maria Beatrice Pozzetti

Publication date: 21 September 2015

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3903

zbMATH Keywords

latticeShilov boundaryHermitian groupmaximal representationsuperrigid representationtight embeddingtube-type subdomain

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Other geometric groups, including crystallographic groups (20H15)

Related Items

Multiplicative constants and maximal measurable cocycles in bounded cohomology, Rigidity of maximal holomorphic representations of Kähler groups, Local rigidity of complex hyperbolic lattices in semisimple Lie groups, Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds, Rigidity, lattices, and invariant measures beyond homogeneous dynamics, On the trivializability of rank-one cocycles with an invariant field of projective measures, Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces, Toledo invariant of lattices in SU(2,1) via symmetric square, Conformality for a robust class of non-conformal attractors, Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups, Superrigidity of maximal measurable cocycles of complex hyperbolic lattices, A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices

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