Maximal Representations of Surface Groups in Bounded Symmetric Domains

DOI10.2307/2001515zbMath0733.32024OpenAlexW4240394934MaRDI QIDQ3360478

Luis Hernández-Lamoneda

Publication date: 1991

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001515

zbMATH Keywords

Hermitian symmetric spaceinvariance of a totally geodesic subspace

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (13)

Positivity and higher Teichmüller theory ⋮ Bounded Kähler class rigidity of actions on Hermitian symmetric spaces ⋮ Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces ⋮ Maximal representations of cocompact complex hyperbolic lattices, a uniform approach ⋮ Anosov representations: domains of discontinuity and applications. ⋮ On critical double phase Choquard problems with singular nonlinearity ⋮ Surface group representations with maximal Toledo invariant. ⋮ Toledo invariant of lattices in SU(2,1) via symmetric square ⋮ Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\) ⋮ The action of the mapping class group on maximal representations. ⋮ Surface group representations with maximal Toledo invariant ⋮ Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups ⋮ Higgs bundles and higher Teichmüller spaces

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